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Finding the Fourth Proportional to 22,652.28, 31,258.58 and 12,580.47

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Solution

The fourth proportional to 22,652.28, 31,258.58 and 12,580.47 is: 17,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.28 : 31,258.58 = 12,580.47 : x
  2. Step 2: Convert to fraction form
    22,652.28/31,258.58 = 12,580.47/x
  3. Step 3: Cross multiply
    22,652.28x = 31,258.58 × 12,580.47
  4. Step 4: Simplify right side
    22,652.28x = 393,247,565.03
  5. Step 5: Solve for x
    x = 393,247,565.03/22,652.28
  6. Step 6: Final answer
    x = 17,360.18

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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.