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Finding the Fourth Proportional to 25,854.83, 38,772.67 and 9,210.44

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Solution

The fourth proportional to 25,854.83, 38,772.67 and 9,210.44 is: 13,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.83 : 38,772.67 = 9,210.44 : x
  2. Step 2: Convert to fraction form
    25,854.83/38,772.67 = 9,210.44/x
  3. Step 3: Cross multiply
    25,854.83x = 38,772.67 × 9,210.44
  4. Step 4: Simplify right side
    25,854.83x = 357,113,304.62
  5. Step 5: Solve for x
    x = 357,113,304.62/25,854.83
  6. Step 6: Final answer
    x = 13,812.25

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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.