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Finding the Fourth Proportional to 17,683.80, 24,404.04 and 9,726.72

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Solution

The fourth proportional to 17,683.80, 24,404.04 and 9,726.72 is: 13,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.80 : 24,404.04 = 9,726.72 : x
  2. Step 2: Convert to fraction form
    17,683.80/24,404.04 = 9,726.72/x
  3. Step 3: Cross multiply
    17,683.80x = 24,404.04 × 9,726.72
  4. Step 4: Simplify right side
    17,683.80x = 237,371,263.95
  5. Step 5: Solve for x
    x = 237,371,263.95/17,683.80
  6. Step 6: Final answer
    x = 13,423.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.