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Finding the Fourth Proportional to 13,855.38, 19,125.72 and 9,402.18

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Solution

The fourth proportional to 13,855.38, 19,125.72 and 9,402.18 is: 12,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.38 : 19,125.72 = 9,402.18 : x
  2. Step 2: Convert to fraction form
    13,855.38/19,125.72 = 9,402.18/x
  3. Step 3: Cross multiply
    13,855.38x = 19,125.72 × 9,402.18
  4. Step 4: Simplify right side
    13,855.38x = 179,823,462.07
  5. Step 5: Solve for x
    x = 179,823,462.07/13,855.38
  6. Step 6: Final answer
    x = 12,978.60

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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.