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Finding the Fourth Proportional to 13,045.38, 18,000.27 and 7,378.62

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Solution

The fourth proportional to 13,045.38, 18,000.27 and 7,378.62 is: 10,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.38 : 18,000.27 = 7,378.62 : x
  2. Step 2: Convert to fraction form
    13,045.38/18,000.27 = 7,378.62/x
  3. Step 3: Cross multiply
    13,045.38x = 18,000.27 × 7,378.62
  4. Step 4: Simplify right side
    13,045.38x = 132,817,152.23
  5. Step 5: Solve for x
    x = 132,817,152.23/13,045.38
  6. Step 6: Final answer
    x = 10,181.16

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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.