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Finding the Fourth Proportional to 12,074.92, 16,638.42 and 9,707.56

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Solution

The fourth proportional to 12,074.92, 16,638.42 and 9,707.56 is: 13,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.92 : 16,638.42 = 9,707.56 : x
  2. Step 2: Convert to fraction form
    12,074.92/16,638.42 = 9,707.56/x
  3. Step 3: Cross multiply
    12,074.92x = 16,638.42 × 9,707.56
  4. Step 4: Simplify right side
    12,074.92x = 161,518,460.46
  5. Step 5: Solve for x
    x = 161,518,460.46/12,074.92
  6. Step 6: Final answer
    x = 13,376.36

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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.