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Finding the Fourth Proportional to 19,614.34, 29,437.91 and 10,257.63

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Solution

The fourth proportional to 19,614.34, 29,437.91 and 10,257.63 is: 15,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.34 : 29,437.91 = 10,257.63 : x
  2. Step 2: Convert to fraction form
    19,614.34/29,437.91 = 10,257.63/x
  3. Step 3: Cross multiply
    19,614.34x = 29,437.91 × 10,257.63
  4. Step 4: Simplify right side
    19,614.34x = 301,963,188.75
  5. Step 5: Solve for x
    x = 301,963,188.75/19,614.34
  6. Step 6: Final answer
    x = 15,395.02

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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.