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Finding the Fourth Proportional to 24,463.68, 36,695.52 and 6,935.04

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Solution

The fourth proportional to 24,463.68, 36,695.52 and 6,935.04 is: 10,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463.68 : 36,695.52 = 6,935.04 : x
  2. Step 2: Convert to fraction form
    24,463.68/36,695.52 = 6,935.04/x
  3. Step 3: Cross multiply
    24,463.68x = 36,695.52 × 6,935.04
  4. Step 4: Simplify right side
    24,463.68x = 254,484,899.02
  5. Step 5: Solve for x
    x = 254,484,899.02/24,463.68
  6. Step 6: Final answer
    x = 10,402.56

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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.