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Finding the Fourth Proportional to 12,139.70, 18,209.55 and 7,762.10

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Solution

The fourth proportional to 12,139.70, 18,209.55 and 7,762.10 is: 11,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.70 : 18,209.55 = 7,762.10 : x
  2. Step 2: Convert to fraction form
    12,139.70/18,209.55 = 7,762.10/x
  3. Step 3: Cross multiply
    12,139.70x = 18,209.55 × 7,762.10
  4. Step 4: Simplify right side
    12,139.70x = 141,344,348.06
  5. Step 5: Solve for x
    x = 141,344,348.06/12,139.70
  6. Step 6: Final answer
    x = 11,643.15

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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.