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Finding the Fourth Proportional to 17,726.23, 24,464.91 and 13,470.40

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Solution

The fourth proportional to 17,726.23, 24,464.91 and 13,470.40 is: 18,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.23 : 24,464.91 = 13,470.40 : x
  2. Step 2: Convert to fraction form
    17,726.23/24,464.91 = 13,470.40/x
  3. Step 3: Cross multiply
    17,726.23x = 24,464.91 × 13,470.40
  4. Step 4: Simplify right side
    17,726.23x = 329,552,123.66
  5. Step 5: Solve for x
    x = 329,552,123.66/17,726.23
  6. Step 6: Final answer
    x = 18,591.21

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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.