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Finding the Fourth Proportional to 18,017.04, 24,853.17 and 10,842

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Solution

The fourth proportional to 18,017.04, 24,853.17 and 10,842 is: 14,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,017.04 : 24,853.17 = 10,842 : x
  2. Step 2: Convert to fraction form
    18,017.04/24,853.17 = 10,842/x
  3. Step 3: Cross multiply
    18,017.04x = 24,853.17 × 10,842
  4. Step 4: Simplify right side
    18,017.04x = 269,458,069.14
  5. Step 5: Solve for x
    x = 269,458,069.14/18,017.04
  6. Step 6: Final answer
    x = 14,955.73

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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.