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Finding the Fourth Proportional to 22,947.07, 34,414 and 6,307.65

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Solution

The fourth proportional to 22,947.07, 34,414 and 6,307.65 is: 9,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.07 : 34,414 = 6,307.65 : x
  2. Step 2: Convert to fraction form
    22,947.07/34,414 = 6,307.65/x
  3. Step 3: Cross multiply
    22,947.07x = 34,414 × 6,307.65
  4. Step 4: Simplify right side
    22,947.07x = 217,071,467.10
  5. Step 5: Solve for x
    x = 217,071,467.10/22,947.07
  6. Step 6: Final answer
    x = 9,459.66

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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.