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Finding the Fourth Proportional to 12,182.32, 18,307.68 and 7,252.88

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Solution

The fourth proportional to 12,182.32, 18,307.68 and 7,252.88 is: 10,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.32 : 18,307.68 = 7,252.88 : x
  2. Step 2: Convert to fraction form
    12,182.32/18,307.68 = 7,252.88/x
  3. Step 3: Cross multiply
    12,182.32x = 18,307.68 × 7,252.88
  4. Step 4: Simplify right side
    12,182.32x = 132,783,406.12
  5. Step 5: Solve for x
    x = 132,783,406.12/12,182.32
  6. Step 6: Final answer
    x = 10,899.68

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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.