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Finding the Fourth Proportional to 12,448.73, 18,672.49 and 4,656.94

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Solution

The fourth proportional to 12,448.73, 18,672.49 and 4,656.94 is: 6,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.73 : 18,672.49 = 4,656.94 : x
  2. Step 2: Convert to fraction form
    12,448.73/18,672.49 = 4,656.94/x
  3. Step 3: Cross multiply
    12,448.73x = 18,672.49 × 4,656.94
  4. Step 4: Simplify right side
    12,448.73x = 86,956,624.72
  5. Step 5: Solve for x
    x = 86,956,624.72/12,448.73
  6. Step 6: Final answer
    x = 6,985.18

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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.