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Finding the Fourth Proportional to 19,752.96, 29,613.96 and 9,887.28

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Solution

The fourth proportional to 19,752.96, 29,613.96 and 9,887.28 is: 14,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.96 : 29,613.96 = 9,887.28 : x
  2. Step 2: Convert to fraction form
    19,752.96/29,613.96 = 9,887.28/x
  3. Step 3: Cross multiply
    19,752.96x = 29,613.96 × 9,887.28
  4. Step 4: Simplify right side
    19,752.96x = 292,801,514.43
  5. Step 5: Solve for x
    x = 292,801,514.43/19,752.96
  6. Step 6: Final answer
    x = 14,823.17

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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.