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Finding the Fourth Proportional to 17,683.41, 24,403.50 and 9,726.04

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Solution

The fourth proportional to 17,683.41, 24,403.50 and 9,726.04 is: 13,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.41 : 24,403.50 = 9,726.04 : x
  2. Step 2: Convert to fraction form
    17,683.41/24,403.50 = 9,726.04/x
  3. Step 3: Cross multiply
    17,683.41x = 24,403.50 × 9,726.04
  4. Step 4: Simplify right side
    17,683.41x = 237,349,246.49
  5. Step 5: Solve for x
    x = 237,349,246.49/17,683.41
  6. Step 6: Final answer
    x = 13,422.14

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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.