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Finding the Fourth Proportional to 12,117.58, 18,147.20 and 8,210.14

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Solution

The fourth proportional to 12,117.58, 18,147.20 and 8,210.14 is: 12,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.58 : 18,147.20 = 8,210.14 : x
  2. Step 2: Convert to fraction form
    12,117.58/18,147.20 = 8,210.14/x
  3. Step 3: Cross multiply
    12,117.58x = 18,147.20 × 8,210.14
  4. Step 4: Simplify right side
    12,117.58x = 148,991,052.61
  5. Step 5: Solve for x
    x = 148,991,052.61/12,117.58
  6. Step 6: Final answer
    x = 12,295.45

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