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Finding the Fourth Proportional to 16,047.36, 24,077.92 and 8,643.20

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Solution

The fourth proportional to 16,047.36, 24,077.92 and 8,643.20 is: 12,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.36 : 24,077.92 = 8,643.20 : x
  2. Step 2: Convert to fraction form
    16,047.36/24,077.92 = 8,643.20/x
  3. Step 3: Cross multiply
    16,047.36x = 24,077.92 × 8,643.20
  4. Step 4: Simplify right side
    16,047.36x = 208,110,278.14
  5. Step 5: Solve for x
    x = 208,110,278.14/16,047.36
  6. Step 6: Final answer
    x = 12,968.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.