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Finding the Fourth Proportional to 12,159.30, 18,232.62 and 8,210.40

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Solution

The fourth proportional to 12,159.30, 18,232.62 and 8,210.40 is: 12,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.30 : 18,232.62 = 8,210.40 : x
  2. Step 2: Convert to fraction form
    12,159.30/18,232.62 = 8,210.40/x
  3. Step 3: Cross multiply
    12,159.30x = 18,232.62 × 8,210.40
  4. Step 4: Simplify right side
    12,159.30x = 149,697,103.25
  5. Step 5: Solve for x
    x = 149,697,103.25/12,159.30
  6. Step 6: Final answer
    x = 12,311.33

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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.