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Finding the Fourth Proportional to 14,888, 20,545.52 and 8,264

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Solution

The fourth proportional to 14,888, 20,545.52 and 8,264 is: 11,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,888 : 20,545.52 = 8,264 : x
  2. Step 2: Convert to fraction form
    14,888/20,545.52 = 8,264/x
  3. Step 3: Cross multiply
    14,888x = 20,545.52 × 8,264
  4. Step 4: Simplify right side
    14,888x = 169,788,177.28
  5. Step 5: Solve for x
    x = 169,788,177.28/14,888
  6. Step 6: Final answer
    x = 11,404.36

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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.