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Finding the Fourth Proportional to 19,538.28, 29,257.74 and 14,251.68

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Solution

The fourth proportional to 19,538.28, 29,257.74 and 14,251.68 is: 21,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.28 : 29,257.74 = 14,251.68 : x
  2. Step 2: Convert to fraction form
    19,538.28/29,257.74 = 14,251.68/x
  3. Step 3: Cross multiply
    19,538.28x = 29,257.74 × 14,251.68
  4. Step 4: Simplify right side
    19,538.28x = 416,971,948.00
  5. Step 5: Solve for x
    x = 416,971,948.00/19,538.28
  6. Step 6: Final answer
    x = 21,341.28

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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.