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Finding the Fourth Proportional to 22,429.74, 30,952.89 and 12,357.96

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Solution

The fourth proportional to 22,429.74, 30,952.89 and 12,357.96 is: 17,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.74 : 30,952.89 = 12,357.96 : x
  2. Step 2: Convert to fraction form
    22,429.74/30,952.89 = 12,357.96/x
  3. Step 3: Cross multiply
    22,429.74x = 30,952.89 × 12,357.96
  4. Step 4: Simplify right side
    22,429.74x = 382,514,576.50
  5. Step 5: Solve for x
    x = 382,514,576.50/22,429.74
  6. Step 6: Final answer
    x = 17,053.90

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