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Finding the Fourth Proportional to 19,082.72, 26,335.50 and 10,587.56

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Solution

The fourth proportional to 19,082.72, 26,335.50 and 10,587.56 is: 14,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082.72 : 26,335.50 = 10,587.56 : x
  2. Step 2: Convert to fraction form
    19,082.72/26,335.50 = 10,587.56/x
  3. Step 3: Cross multiply
    19,082.72x = 26,335.50 × 10,587.56
  4. Step 4: Simplify right side
    19,082.72x = 278,828,686.38
  5. Step 5: Solve for x
    x = 278,828,686.38/19,082.72
  6. Step 6: Final answer
    x = 14,611.58

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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.