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Finding the Fourth Proportional to 15,726.63, 23,531.05 and 9,378.30

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Solution

The fourth proportional to 15,726.63, 23,531.05 and 9,378.30 is: 14,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.63 : 23,531.05 = 9,378.30 : x
  2. Step 2: Convert to fraction form
    15,726.63/23,531.05 = 9,378.30/x
  3. Step 3: Cross multiply
    15,726.63x = 23,531.05 × 9,378.30
  4. Step 4: Simplify right side
    15,726.63x = 220,681,246.22
  5. Step 5: Solve for x
    x = 220,681,246.22/15,726.63
  6. Step 6: Final answer
    x = 14,032.33

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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.