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Finding the Fourth Proportional to 13,000.14, 19,502.24 and 4,233.02

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Solution

The fourth proportional to 13,000.14, 19,502.24 and 4,233.02 is: 6,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.14 : 19,502.24 = 4,233.02 : x
  2. Step 2: Convert to fraction form
    13,000.14/19,502.24 = 4,233.02/x
  3. Step 3: Cross multiply
    13,000.14x = 19,502.24 × 4,233.02
  4. Step 4: Simplify right side
    13,000.14x = 82,553,253.29
  5. Step 5: Solve for x
    x = 82,553,253.29/13,000.14
  6. Step 6: Final answer
    x = 6,350.18

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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.