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Finding the Fourth Proportional to 22,740.56, 34,114.48 and 9,594.87

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Solution

The fourth proportional to 22,740.56, 34,114.48 and 9,594.87 is: 14,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.56 : 34,114.48 = 9,594.87 : x
  2. Step 2: Convert to fraction form
    22,740.56/34,114.48 = 9,594.87/x
  3. Step 3: Cross multiply
    22,740.56x = 34,114.48 × 9,594.87
  4. Step 4: Simplify right side
    22,740.56x = 327,323,830.15
  5. Step 5: Solve for x
    x = 327,323,830.15/22,740.56
  6. Step 6: Final answer
    x = 14,393.83

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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.