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Finding the Fourth Proportional to 21,378.47, 32,034.87 and 13,046.00

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Solution

The fourth proportional to 21,378.47, 32,034.87 and 13,046.00 is: 19,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.47 : 32,034.87 = 13,046.00 : x
  2. Step 2: Convert to fraction form
    21,378.47/32,034.87 = 13,046.00/x
  3. Step 3: Cross multiply
    21,378.47x = 32,034.87 × 13,046.00
  4. Step 4: Simplify right side
    21,378.47x = 417,926,753.85
  5. Step 5: Solve for x
    x = 417,926,753.85/21,378.47
  6. Step 6: Final answer
    x = 19,548.96

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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.