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Finding the Fourth Proportional to 22,428.68, 30,952.99 and 12,357.13

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Solution

The fourth proportional to 22,428.68, 30,952.99 and 12,357.13 is: 17,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.68 : 30,952.99 = 12,357.13 : x
  2. Step 2: Convert to fraction form
    22,428.68/30,952.99 = 12,357.13/x
  3. Step 3: Cross multiply
    22,428.68x = 30,952.99 × 12,357.13
  4. Step 4: Simplify right side
    22,428.68x = 382,490,004.38
  5. Step 5: Solve for x
    x = 382,490,004.38/22,428.68
  6. Step 6: Final answer
    x = 17,053.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.