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Finding the Fourth Proportional to 12,126.71, 18,199.78 and 6,284.99

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Solution

The fourth proportional to 12,126.71, 18,199.78 and 6,284.99 is: 9,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.71 : 18,199.78 = 6,284.99 : x
  2. Step 2: Convert to fraction form
    12,126.71/18,199.78 = 6,284.99/x
  3. Step 3: Cross multiply
    12,126.71x = 18,199.78 × 6,284.99
  4. Step 4: Simplify right side
    12,126.71x = 114,385,328.59
  5. Step 5: Solve for x
    x = 114,385,328.59/12,126.71
  6. Step 6: Final answer
    x = 9,432.52

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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.