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Finding the Fourth Proportional to 15,258.75, 22,833.45 and 9,022.16

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Solution

The fourth proportional to 15,258.75, 22,833.45 and 9,022.16 is: 13,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.75 : 22,833.45 = 9,022.16 : x
  2. Step 2: Convert to fraction form
    15,258.75/22,833.45 = 9,022.16/x
  3. Step 3: Cross multiply
    15,258.75x = 22,833.45 × 9,022.16
  4. Step 4: Simplify right side
    15,258.75x = 206,006,925.08
  5. Step 5: Solve for x
    x = 206,006,925.08/15,258.75
  6. Step 6: Final answer
    x = 13,500.90

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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.