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Finding the Fourth Proportional to 12,580.21, 18,862.07 and 7,034.14

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Solution

The fourth proportional to 12,580.21, 18,862.07 and 7,034.14 is: 10,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.21 : 18,862.07 = 7,034.14 : x
  2. Step 2: Convert to fraction form
    12,580.21/18,862.07 = 7,034.14/x
  3. Step 3: Cross multiply
    12,580.21x = 18,862.07 × 7,034.14
  4. Step 4: Simplify right side
    12,580.21x = 132,678,429.48
  5. Step 5: Solve for x
    x = 132,678,429.48/12,580.21
  6. Step 6: Final answer
    x = 10,546.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.