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Finding the Fourth Proportional to 22,952.40, 34,428.53 and 12,952.61

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Solution

The fourth proportional to 22,952.40, 34,428.53 and 12,952.61 is: 19,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.40 : 34,428.53 = 12,952.61 : x
  2. Step 2: Convert to fraction form
    22,952.40/34,428.53 = 12,952.61/x
  3. Step 3: Cross multiply
    22,952.40x = 34,428.53 × 12,952.61
  4. Step 4: Simplify right side
    22,952.40x = 445,939,238.45
  5. Step 5: Solve for x
    x = 445,939,238.45/22,952.40
  6. Step 6: Final answer
    x = 19,428.88

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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.