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Finding the Fourth Proportional to 12,055.68, 16,642.80 and 9,199.62

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Solution

The fourth proportional to 12,055.68, 16,642.80 and 9,199.62 is: 12,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.68 : 16,642.80 = 9,199.62 : x
  2. Step 2: Convert to fraction form
    12,055.68/16,642.80 = 9,199.62/x
  3. Step 3: Cross multiply
    12,055.68x = 16,642.80 × 9,199.62
  4. Step 4: Simplify right side
    12,055.68x = 153,107,435.74
  5. Step 5: Solve for x
    x = 153,107,435.74/12,055.68
  6. Step 6: Final answer
    x = 12,700.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.