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Finding the Fourth Proportional to 16,124.13, 22,252.65 and 9,410.20

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Solution

The fourth proportional to 16,124.13, 22,252.65 and 9,410.20 is: 12,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.13 : 22,252.65 = 9,410.20 : x
  2. Step 2: Convert to fraction form
    16,124.13/22,252.65 = 9,410.20/x
  3. Step 3: Cross multiply
    16,124.13x = 22,252.65 × 9,410.20
  4. Step 4: Simplify right side
    16,124.13x = 209,401,887.03
  5. Step 5: Solve for x
    x = 209,401,887.03/16,124.13
  6. Step 6: Final answer
    x = 12,986.86

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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.