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Finding the Fourth Proportional to 12,661.17, 18,986.25 and 4,864.50

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Solution

The fourth proportional to 12,661.17, 18,986.25 and 4,864.50 is: 7,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.17 : 18,986.25 = 4,864.50 : x
  2. Step 2: Convert to fraction form
    12,661.17/18,986.25 = 4,864.50/x
  3. Step 3: Cross multiply
    12,661.17x = 18,986.25 × 4,864.50
  4. Step 4: Simplify right side
    12,661.17x = 92,358,613.13
  5. Step 5: Solve for x
    x = 92,358,613.13/12,661.17
  6. Step 6: Final answer
    x = 7,294.63

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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.