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Finding the Fourth Proportional to 12,559.40, 18,857.70 and 7,023.80

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Solution

The fourth proportional to 12,559.40, 18,857.70 and 7,023.80 is: 10,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.40 : 18,857.70 = 7,023.80 : x
  2. Step 2: Convert to fraction form
    12,559.40/18,857.70 = 7,023.80/x
  3. Step 3: Cross multiply
    12,559.40x = 18,857.70 × 7,023.80
  4. Step 4: Simplify right side
    12,559.40x = 132,452,713.26
  5. Step 5: Solve for x
    x = 132,452,713.26/12,559.40
  6. Step 6: Final answer
    x = 10,546.10

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