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Finding the Fourth Proportional to 14,587.29, 21,881.25 and 5,227.92

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Solution

The fourth proportional to 14,587.29, 21,881.25 and 5,227.92 is: 7,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.29 : 21,881.25 = 5,227.92 : x
  2. Step 2: Convert to fraction form
    14,587.29/21,881.25 = 5,227.92/x
  3. Step 3: Cross multiply
    14,587.29x = 21,881.25 × 5,227.92
  4. Step 4: Simplify right side
    14,587.29x = 114,393,424.50
  5. Step 5: Solve for x
    x = 114,393,424.50/14,587.29
  6. Step 6: Final answer
    x = 7,841.99

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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.