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Finding the Fourth Proportional to 22,955.40, 34,432.16 and 6,314.22

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Solution

The fourth proportional to 22,955.40, 34,432.16 and 6,314.22 is: 9,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,955.40 : 34,432.16 = 6,314.22 : x
  2. Step 2: Convert to fraction form
    22,955.40/34,432.16 = 6,314.22/x
  3. Step 3: Cross multiply
    22,955.40x = 34,432.16 × 6,314.22
  4. Step 4: Simplify right side
    22,955.40x = 217,412,201.74
  5. Step 5: Solve for x
    x = 217,412,201.74/22,955.40
  6. Step 6: Final answer
    x = 9,471.07

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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.