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Finding the Fourth Proportional to 25,568.54, 38,358.04 and 9,772.46

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Solution

The fourth proportional to 25,568.54, 38,358.04 and 9,772.46 is: 14,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.54 : 38,358.04 = 9,772.46 : x
  2. Step 2: Convert to fraction form
    25,568.54/38,358.04 = 9,772.46/x
  3. Step 3: Cross multiply
    25,568.54x = 38,358.04 × 9,772.46
  4. Step 4: Simplify right side
    25,568.54x = 374,852,411.58
  5. Step 5: Solve for x
    x = 374,852,411.58/25,568.54
  6. Step 6: Final answer
    x = 14,660.69

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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.