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Finding the Fourth Proportional to 25,211.24, 34,791.02 and 15,785

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Solution

The fourth proportional to 25,211.24, 34,791.02 and 15,785 is: 21,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.24 : 34,791.02 = 15,785 : x
  2. Step 2: Convert to fraction form
    25,211.24/34,791.02 = 15,785/x
  3. Step 3: Cross multiply
    25,211.24x = 34,791.02 × 15,785
  4. Step 4: Simplify right side
    25,211.24x = 549,176,250.70
  5. Step 5: Solve for x
    x = 549,176,250.70/25,211.24
  6. Step 6: Final answer
    x = 21,782.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.