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Finding the Fourth Proportional to 21,170.96, 31,714.12 and 10,088.40

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Solution

The fourth proportional to 21,170.96, 31,714.12 and 10,088.40 is: 15,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.96 : 31,714.12 = 10,088.40 : x
  2. Step 2: Convert to fraction form
    21,170.96/31,714.12 = 10,088.40/x
  3. Step 3: Cross multiply
    21,170.96x = 31,714.12 × 10,088.40
  4. Step 4: Simplify right side
    21,170.96x = 319,944,728.21
  5. Step 5: Solve for x
    x = 319,944,728.21/21,170.96
  6. Step 6: Final answer
    x = 15,112.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.