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Finding the Fourth Proportional to 13,726.59, 20,594.79 and 5,402.00

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Solution

The fourth proportional to 13,726.59, 20,594.79 and 5,402.00 is: 8,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.59 : 20,594.79 = 5,402.00 : x
  2. Step 2: Convert to fraction form
    13,726.59/20,594.79 = 5,402.00/x
  3. Step 3: Cross multiply
    13,726.59x = 20,594.79 × 5,402.00
  4. Step 4: Simplify right side
    13,726.59x = 111,252,952.61
  5. Step 5: Solve for x
    x = 111,252,952.61/13,726.59
  6. Step 6: Final answer
    x = 8,104.92

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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.