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Finding the Fourth Proportional to 24,376.01, 36,565.29 and 7,737.32

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Solution

The fourth proportional to 24,376.01, 36,565.29 and 7,737.32 is: 11,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.01 : 36,565.29 = 7,737.32 : x
  2. Step 2: Convert to fraction form
    24,376.01/36,565.29 = 7,737.32/x
  3. Step 3: Cross multiply
    24,376.01x = 36,565.29 × 7,737.32
  4. Step 4: Simplify right side
    24,376.01x = 282,917,441.04
  5. Step 5: Solve for x
    x = 282,917,441.04/24,376.01
  6. Step 6: Final answer
    x = 11,606.39

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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.