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Finding the Fourth Proportional to 15,258.29, 22,931.17 and 7,472.57

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Solution

The fourth proportional to 15,258.29, 22,931.17 and 7,472.57 is: 11,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.29 : 22,931.17 = 7,472.57 : x
  2. Step 2: Convert to fraction form
    15,258.29/22,931.17 = 7,472.57/x
  3. Step 3: Cross multiply
    15,258.29x = 22,931.17 × 7,472.57
  4. Step 4: Simplify right side
    15,258.29x = 171,354,639.67
  5. Step 5: Solve for x
    x = 171,354,639.67/15,258.29
  6. Step 6: Final answer
    x = 11,230.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.