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Finding the Fourth Proportional to 18,412.32, 25,429.70 and 12,433.61

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Solution

The fourth proportional to 18,412.32, 25,429.70 and 12,433.61 is: 17,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.32 : 25,429.70 = 12,433.61 : x
  2. Step 2: Convert to fraction form
    18,412.32/25,429.70 = 12,433.61/x
  3. Step 3: Cross multiply
    18,412.32x = 25,429.70 × 12,433.61
  4. Step 4: Simplify right side
    18,412.32x = 316,182,972.22
  5. Step 5: Solve for x
    x = 316,182,972.22/18,412.32
  6. Step 6: Final answer
    x = 17,172.36

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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.