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Finding the Fourth Proportional to 24,689.76, 34,071 and 14,082.78

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Solution

The fourth proportional to 24,689.76, 34,071 and 14,082.78 is: 19,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.76 : 34,071 = 14,082.78 : x
  2. Step 2: Convert to fraction form
    24,689.76/34,071 = 14,082.78/x
  3. Step 3: Cross multiply
    24,689.76x = 34,071 × 14,082.78
  4. Step 4: Simplify right side
    24,689.76x = 479,814,397.38
  5. Step 5: Solve for x
    x = 479,814,397.38/24,689.76
  6. Step 6: Final answer
    x = 19,433.74

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1.5x scale

Why These Related Problems?

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