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Finding the Fourth Proportional to 15,355.29, 22,996.02 and 10,409.93

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Solution

The fourth proportional to 15,355.29, 22,996.02 and 10,409.93 is: 15,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,355.29 : 22,996.02 = 10,409.93 : x
  2. Step 2: Convert to fraction form
    15,355.29/22,996.02 = 10,409.93/x
  3. Step 3: Cross multiply
    15,355.29x = 22,996.02 × 10,409.93
  4. Step 4: Simplify right side
    15,355.29x = 239,386,843.50
  5. Step 5: Solve for x
    x = 239,386,843.50/15,355.29
  6. Step 6: Final answer
    x = 15,589.86

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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.