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Finding the Fourth Proportional to 21,232.90, 29,302.16 and 12,159.92

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Solution

The fourth proportional to 21,232.90, 29,302.16 and 12,159.92 is: 16,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.90 : 29,302.16 = 12,159.92 : x
  2. Step 2: Convert to fraction form
    21,232.90/29,302.16 = 12,159.92/x
  3. Step 3: Cross multiply
    21,232.90x = 29,302.16 × 12,159.92
  4. Step 4: Simplify right side
    21,232.90x = 356,311,714.12
  5. Step 5: Solve for x
    x = 356,311,714.12/21,232.90
  6. Step 6: Final answer
    x = 16,781.12

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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.