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Finding the Fourth Proportional to 12,162.80, 18,116.38 and 11,594

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Solution

The fourth proportional to 12,162.80, 18,116.38 and 11,594 is: 17,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.80 : 18,116.38 = 11,594 : x
  2. Step 2: Convert to fraction form
    12,162.80/18,116.38 = 11,594/x
  3. Step 3: Cross multiply
    12,162.80x = 18,116.38 × 11,594
  4. Step 4: Simplify right side
    12,162.80x = 210,041,309.72
  5. Step 5: Solve for x
    x = 210,041,309.72/12,162.80
  6. Step 6: Final answer
    x = 17,269.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.