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Finding the Fourth Proportional to 13,254.38, 18,291.52 and 7,590.14

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Solution

The fourth proportional to 13,254.38, 18,291.52 and 7,590.14 is: 10,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.38 : 18,291.52 = 7,590.14 : x
  2. Step 2: Convert to fraction form
    13,254.38/18,291.52 = 7,590.14/x
  3. Step 3: Cross multiply
    13,254.38x = 18,291.52 × 7,590.14
  4. Step 4: Simplify right side
    13,254.38x = 138,835,087.18
  5. Step 5: Solve for x
    x = 138,835,087.18/13,254.38
  6. Step 6: Final answer
    x = 10,474.66

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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.