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Finding the Fourth Proportional to 15,412.95, 21,269.90 and 8,339.38

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Solution

The fourth proportional to 15,412.95, 21,269.90 and 8,339.38 is: 11,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.95 : 21,269.90 = 8,339.38 : x
  2. Step 2: Convert to fraction form
    15,412.95/21,269.90 = 8,339.38/x
  3. Step 3: Cross multiply
    15,412.95x = 21,269.90 × 8,339.38
  4. Step 4: Simplify right side
    15,412.95x = 177,377,746.34
  5. Step 5: Solve for x
    x = 177,377,746.34/15,412.95
  6. Step 6: Final answer
    x = 11,508.36

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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.