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Finding the Fourth Proportional to 22,432.76, 30,956.82 and 13,002.20

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Solution

The fourth proportional to 22,432.76, 30,956.82 and 13,002.20 is: 17,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.76 : 30,956.82 = 13,002.20 : x
  2. Step 2: Convert to fraction form
    22,432.76/30,956.82 = 13,002.20/x
  3. Step 3: Cross multiply
    22,432.76x = 30,956.82 × 13,002.20
  4. Step 4: Simplify right side
    22,432.76x = 402,506,765.00
  5. Step 5: Solve for x
    x = 402,506,765.00/22,432.76
  6. Step 6: Final answer
    x = 17,942.81

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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.