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Finding the Fourth Proportional to 12,461.79, 18,697.65 and 5,066.82

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Solution

The fourth proportional to 12,461.79, 18,697.65 and 5,066.82 is: 7,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.79 : 18,697.65 = 5,066.82 : x
  2. Step 2: Convert to fraction form
    12,461.79/18,697.65 = 5,066.82/x
  3. Step 3: Cross multiply
    12,461.79x = 18,697.65 × 5,066.82
  4. Step 4: Simplify right side
    12,461.79x = 94,737,626.97
  5. Step 5: Solve for x
    x = 94,737,626.97/12,461.79
  6. Step 6: Final answer
    x = 7,602.25

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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.