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Finding the Fourth Proportional to 21,131.68, 29,162.64 and 12,748

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Solution

The fourth proportional to 21,131.68, 29,162.64 and 12,748 is: 17,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.68 : 29,162.64 = 12,748 : x
  2. Step 2: Convert to fraction form
    21,131.68/29,162.64 = 12,748/x
  3. Step 3: Cross multiply
    21,131.68x = 29,162.64 × 12,748
  4. Step 4: Simplify right side
    21,131.68x = 371,765,334.72
  5. Step 5: Solve for x
    x = 371,765,334.72/21,131.68
  6. Step 6: Final answer
    x = 17,592.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.