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Finding the Fourth Proportional to 14,448.26, 21,663 and 9,502.88

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Solution

The fourth proportional to 14,448.26, 21,663 and 9,502.88 is: 14,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.26 : 21,663 = 9,502.88 : x
  2. Step 2: Convert to fraction form
    14,448.26/21,663 = 9,502.88/x
  3. Step 3: Cross multiply
    14,448.26x = 21,663 × 9,502.88
  4. Step 4: Simplify right side
    14,448.26x = 205,860,781.13
  5. Step 5: Solve for x
    x = 205,860,781.13/14,448.26
  6. Step 6: Final answer
    x = 14,248.14

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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.