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Finding the Fourth Proportional to 22,685.64, 34,040.10 and 9,368.52

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Solution

The fourth proportional to 22,685.64, 34,040.10 and 9,368.52 is: 14,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.64 : 34,040.10 = 9,368.52 : x
  2. Step 2: Convert to fraction form
    22,685.64/34,040.10 = 9,368.52/x
  3. Step 3: Cross multiply
    22,685.64x = 34,040.10 × 9,368.52
  4. Step 4: Simplify right side
    22,685.64x = 318,905,357.65
  5. Step 5: Solve for x
    x = 318,905,357.65/22,685.64
  6. Step 6: Final answer
    x = 14,057.59

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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.