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Finding the Fourth Proportional to 12,345.71, 18,482.22 and 7,650.63

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Solution

The fourth proportional to 12,345.71, 18,482.22 and 7,650.63 is: 11,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.71 : 18,482.22 = 7,650.63 : x
  2. Step 2: Convert to fraction form
    12,345.71/18,482.22 = 7,650.63/x
  3. Step 3: Cross multiply
    12,345.71x = 18,482.22 × 7,650.63
  4. Step 4: Simplify right side
    12,345.71x = 141,400,626.80
  5. Step 5: Solve for x
    x = 141,400,626.80/12,345.71
  6. Step 6: Final answer
    x = 11,453.43

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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.