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Finding the Fourth Proportional to 12,116.46, 16,707.78 and 9,594.48

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Solution

The fourth proportional to 12,116.46, 16,707.78 and 9,594.48 is: 13,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.46 : 16,707.78 = 9,594.48 : x
  2. Step 2: Convert to fraction form
    12,116.46/16,707.78 = 9,594.48/x
  3. Step 3: Cross multiply
    12,116.46x = 16,707.78 × 9,594.48
  4. Step 4: Simplify right side
    12,116.46x = 160,302,461.05
  5. Step 5: Solve for x
    x = 160,302,461.05/12,116.46
  6. Step 6: Final answer
    x = 13,230.14

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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.