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Finding the Fourth Proportional to 19,534.59, 29,301.67 and 4,743.50

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Solution

The fourth proportional to 19,534.59, 29,301.67 and 4,743.50 is: 7,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.59 : 29,301.67 = 4,743.50 : x
  2. Step 2: Convert to fraction form
    19,534.59/29,301.67 = 4,743.50/x
  3. Step 3: Cross multiply
    19,534.59x = 29,301.67 × 4,743.50
  4. Step 4: Simplify right side
    19,534.59x = 138,992,469.21
  5. Step 5: Solve for x
    x = 138,992,469.21/19,534.59
  6. Step 6: Final answer
    x = 7,115.20

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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.