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Finding the Fourth Proportional to 22,956.40, 34,429.76 and 10,472.88

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Solution

The fourth proportional to 22,956.40, 34,429.76 and 10,472.88 is: 15,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.40 : 34,429.76 = 10,472.88 : x
  2. Step 2: Convert to fraction form
    22,956.40/34,429.76 = 10,472.88/x
  3. Step 3: Cross multiply
    22,956.40x = 34,429.76 × 10,472.88
  4. Step 4: Simplify right side
    22,956.40x = 360,578,744.91
  5. Step 5: Solve for x
    x = 360,578,744.91/22,956.40
  6. Step 6: Final answer
    x = 15,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.