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Finding the Fourth Proportional to 12,126.58, 18,199.59 and 6,284.86

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Solution

The fourth proportional to 12,126.58, 18,199.59 and 6,284.86 is: 9,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.58 : 18,199.59 = 6,284.86 : x
  2. Step 2: Convert to fraction form
    12,126.58/18,199.59 = 6,284.86/x
  3. Step 3: Cross multiply
    12,126.58x = 18,199.59 × 6,284.86
  4. Step 4: Simplify right side
    12,126.58x = 114,381,875.21
  5. Step 5: Solve for x
    x = 114,381,875.21/12,126.58
  6. Step 6: Final answer
    x = 9,432.33

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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.