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Finding the Fourth Proportional to 16,301.72, 24,436.38 and 9,718.04

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Solution

The fourth proportional to 16,301.72, 24,436.38 and 9,718.04 is: 14,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.72 : 24,436.38 = 9,718.04 : x
  2. Step 2: Convert to fraction form
    16,301.72/24,436.38 = 9,718.04/x
  3. Step 3: Cross multiply
    16,301.72x = 24,436.38 × 9,718.04
  4. Step 4: Simplify right side
    16,301.72x = 237,473,718.30
  5. Step 5: Solve for x
    x = 237,473,718.30/16,301.72
  6. Step 6: Final answer
    x = 14,567.40

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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.