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Finding the Fourth Proportional to 19,527.82, 29,291.79 and 9,146.86

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Solution

The fourth proportional to 19,527.82, 29,291.79 and 9,146.86 is: 13,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.82 : 29,291.79 = 9,146.86 : x
  2. Step 2: Convert to fraction form
    19,527.82/29,291.79 = 9,146.86/x
  3. Step 3: Cross multiply
    19,527.82x = 29,291.79 × 9,146.86
  4. Step 4: Simplify right side
    19,527.82x = 267,927,902.28
  5. Step 5: Solve for x
    x = 267,927,902.28/19,527.82
  6. Step 6: Final answer
    x = 13,720.32

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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.