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Finding the Fourth Proportional to 19,967.28, 29,950.92 and 6,114.48

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Solution

The fourth proportional to 19,967.28, 29,950.92 and 6,114.48 is: 9,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.28 : 29,950.92 = 6,114.48 : x
  2. Step 2: Convert to fraction form
    19,967.28/29,950.92 = 6,114.48/x
  3. Step 3: Cross multiply
    19,967.28x = 29,950.92 × 6,114.48
  4. Step 4: Simplify right side
    19,967.28x = 183,134,301.32
  5. Step 5: Solve for x
    x = 183,134,301.32/19,967.28
  6. Step 6: Final answer
    x = 9,171.72

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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.