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Finding the Fourth Proportional to 25,498, 38,250.24 and 7,030

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Solution

The fourth proportional to 25,498, 38,250.24 and 7,030 is: 10,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498 : 38,250.24 = 7,030 : x
  2. Step 2: Convert to fraction form
    25,498/38,250.24 = 7,030/x
  3. Step 3: Cross multiply
    25,498x = 38,250.24 × 7,030
  4. Step 4: Simplify right side
    25,498x = 268,899,187.20
  5. Step 5: Solve for x
    x = 268,899,187.20/25,498
  6. Step 6: Final answer
    x = 10,545.89

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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.