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Finding the Fourth Proportional to 17,683.76, 24,404.02 and 9,726.50

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Solution

The fourth proportional to 17,683.76, 24,404.02 and 9,726.50 is: 13,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.76 : 24,404.02 = 9,726.50 : x
  2. Step 2: Convert to fraction form
    17,683.76/24,404.02 = 9,726.50/x
  3. Step 3: Cross multiply
    17,683.76x = 24,404.02 × 9,726.50
  4. Step 4: Simplify right side
    17,683.76x = 237,365,700.53
  5. Step 5: Solve for x
    x = 237,365,700.53/17,683.76
  6. Step 6: Final answer
    x = 13,422.81

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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.