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Finding the Fourth Proportional to 23,700.80, 32,712.24 and 16,165.10

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Solution

The fourth proportional to 23,700.80, 32,712.24 and 16,165.10 is: 22,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.80 : 32,712.24 = 16,165.10 : x
  2. Step 2: Convert to fraction form
    23,700.80/32,712.24 = 16,165.10/x
  3. Step 3: Cross multiply
    23,700.80x = 32,712.24 × 16,165.10
  4. Step 4: Simplify right side
    23,700.80x = 528,796,630.82
  5. Step 5: Solve for x
    x = 528,796,630.82/23,700.80
  6. Step 6: Final answer
    x = 22,311.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.