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Finding the Fourth Proportional to 22,564.64, 31,140.35 and 12,494.19

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Solution

The fourth proportional to 22,564.64, 31,140.35 and 12,494.19 is: 17,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.64 : 31,140.35 = 12,494.19 : x
  2. Step 2: Convert to fraction form
    22,564.64/31,140.35 = 12,494.19/x
  3. Step 3: Cross multiply
    22,564.64x = 31,140.35 × 12,494.19
  4. Step 4: Simplify right side
    22,564.64x = 389,073,449.57
  5. Step 5: Solve for x
    x = 389,073,449.57/22,564.64
  6. Step 6: Final answer
    x = 17,242.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.