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Finding the Fourth Proportional to 15,719.29, 23,581.04 and 5,722.74

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Solution

The fourth proportional to 15,719.29, 23,581.04 and 5,722.74 is: 8,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.29 : 23,581.04 = 5,722.74 : x
  2. Step 2: Convert to fraction form
    15,719.29/23,581.04 = 5,722.74/x
  3. Step 3: Cross multiply
    15,719.29x = 23,581.04 × 5,722.74
  4. Step 4: Simplify right side
    15,719.29x = 134,948,068.72
  5. Step 5: Solve for x
    x = 134,948,068.72/15,719.29
  6. Step 6: Final answer
    x = 8,584.87

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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.