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Finding the Fourth Proportional to 22,956.66, 34,430.46 and 6,312.42

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Solution

The fourth proportional to 22,956.66, 34,430.46 and 6,312.42 is: 9,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.66 : 34,430.46 = 6,312.42 : x
  2. Step 2: Convert to fraction form
    22,956.66/34,430.46 = 6,312.42/x
  3. Step 3: Cross multiply
    22,956.66x = 34,430.46 × 6,312.42
  4. Step 4: Simplify right side
    22,956.66x = 217,339,524.31
  5. Step 5: Solve for x
    x = 217,339,524.31/22,956.66
  6. Step 6: Final answer
    x = 9,467.38

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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.