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Finding the Fourth Proportional to 12,458, 18,687 and 5,066.48

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Solution

The fourth proportional to 12,458, 18,687 and 5,066.48 is: 7,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458 : 18,687 = 5,066.48 : x
  2. Step 2: Convert to fraction form
    12,458/18,687 = 5,066.48/x
  3. Step 3: Cross multiply
    12,458x = 18,687 × 5,066.48
  4. Step 4: Simplify right side
    12,458x = 94,677,311.76
  5. Step 5: Solve for x
    x = 94,677,311.76/12,458
  6. Step 6: Final answer
    x = 7,599.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.