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Finding the Fourth Proportional to 25,612.32, 38,420.76 and 9,816.72

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Solution

The fourth proportional to 25,612.32, 38,420.76 and 9,816.72 is: 14,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.32 : 38,420.76 = 9,816.72 : x
  2. Step 2: Convert to fraction form
    25,612.32/38,420.76 = 9,816.72/x
  3. Step 3: Cross multiply
    25,612.32x = 38,420.76 × 9,816.72
  4. Step 4: Simplify right side
    25,612.32x = 377,165,843.11
  5. Step 5: Solve for x
    x = 377,165,843.11/25,612.32
  6. Step 6: Final answer
    x = 14,725.95

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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.