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Finding the Fourth Proportional to 25,528.30, 38,292.80 and 9,734.18

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Solution

The fourth proportional to 25,528.30, 38,292.80 and 9,734.18 is: 14,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,528.30 : 38,292.80 = 9,734.18 : x
  2. Step 2: Convert to fraction form
    25,528.30/38,292.80 = 9,734.18/x
  3. Step 3: Cross multiply
    25,528.30x = 38,292.80 × 9,734.18
  4. Step 4: Simplify right side
    25,528.30x = 372,749,007.90
  5. Step 5: Solve for x
    x = 372,749,007.90/25,528.30
  6. Step 6: Final answer
    x = 14,601.40

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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.