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Finding the Fourth Proportional to 16,038.64, 24,057.95 and 7,151.68

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Solution

The fourth proportional to 16,038.64, 24,057.95 and 7,151.68 is: 10,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.64 : 24,057.95 = 7,151.68 : x
  2. Step 2: Convert to fraction form
    16,038.64/24,057.95 = 7,151.68/x
  3. Step 3: Cross multiply
    16,038.64x = 24,057.95 × 7,151.68
  4. Step 4: Simplify right side
    16,038.64x = 172,054,759.86
  5. Step 5: Solve for x
    x = 172,054,759.86/16,038.64
  6. Step 6: Final answer
    x = 10,727.52

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