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Finding the Fourth Proportional to 16,502.13, 24,754.64 and 7,732.35

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Solution

The fourth proportional to 16,502.13, 24,754.64 and 7,732.35 is: 11,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.13 : 24,754.64 = 7,732.35 : x
  2. Step 2: Convert to fraction form
    16,502.13/24,754.64 = 7,732.35/x
  3. Step 3: Cross multiply
    16,502.13x = 24,754.64 × 7,732.35
  4. Step 4: Simplify right side
    16,502.13x = 191,411,501.94
  5. Step 5: Solve for x
    x = 191,411,501.94/16,502.13
  6. Step 6: Final answer
    x = 11,599.20

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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.