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Finding the Fourth Proportional to 25,364.68, 38,013.90 and 17,557

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Solution

The fourth proportional to 25,364.68, 38,013.90 and 17,557 is: 26,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.68 : 38,013.90 = 17,557 : x
  2. Step 2: Convert to fraction form
    25,364.68/38,013.90 = 17,557/x
  3. Step 3: Cross multiply
    25,364.68x = 38,013.90 × 17,557
  4. Step 4: Simplify right side
    25,364.68x = 667,410,042.30
  5. Step 5: Solve for x
    x = 667,410,042.30/25,364.68
  6. Step 6: Final answer
    x = 26,312.57

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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.