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Finding the Fourth Proportional to 25,344.96, 38,023.68 and 9,763.68

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Solution

The fourth proportional to 25,344.96, 38,023.68 and 9,763.68 is: 14,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.96 : 38,023.68 = 9,763.68 : x
  2. Step 2: Convert to fraction form
    25,344.96/38,023.68 = 9,763.68/x
  3. Step 3: Cross multiply
    25,344.96x = 38,023.68 × 9,763.68
  4. Step 4: Simplify right side
    25,344.96x = 371,251,043.94
  5. Step 5: Solve for x
    x = 371,251,043.94/25,344.96
  6. Step 6: Final answer
    x = 14,647.92

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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.