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Finding the Fourth Proportional to 18,291.32, 25,242.12 and 9,907.82

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Solution

The fourth proportional to 18,291.32, 25,242.12 and 9,907.82 is: 13,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291.32 : 25,242.12 = 9,907.82 : x
  2. Step 2: Convert to fraction form
    18,291.32/25,242.12 = 9,907.82/x
  3. Step 3: Cross multiply
    18,291.32x = 25,242.12 × 9,907.82
  4. Step 4: Simplify right side
    18,291.32x = 250,094,381.38
  5. Step 5: Solve for x
    x = 250,094,381.38/18,291.32
  6. Step 6: Final answer
    x = 13,672.84

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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.