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Finding the Fourth Proportional to 21,139.56, 31,714.02 and 7,100.10

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Solution

The fourth proportional to 21,139.56, 31,714.02 and 7,100.10 is: 10,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,139.56 : 31,714.02 = 7,100.10 : x
  2. Step 2: Convert to fraction form
    21,139.56/31,714.02 = 7,100.10/x
  3. Step 3: Cross multiply
    21,139.56x = 31,714.02 × 7,100.10
  4. Step 4: Simplify right side
    21,139.56x = 225,172,713.40
  5. Step 5: Solve for x
    x = 225,172,713.40/21,139.56
  6. Step 6: Final answer
    x = 10,651.72

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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.