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Finding the Fourth Proportional to 12,088.32, 16,683.84 and 8,308.32

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Solution

The fourth proportional to 12,088.32, 16,683.84 and 8,308.32 is: 11,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.32 : 16,683.84 = 8,308.32 : x
  2. Step 2: Convert to fraction form
    12,088.32/16,683.84 = 8,308.32/x
  3. Step 3: Cross multiply
    12,088.32x = 16,683.84 × 8,308.32
  4. Step 4: Simplify right side
    12,088.32x = 138,614,681.55
  5. Step 5: Solve for x
    x = 138,614,681.55/12,088.32
  6. Step 6: Final answer
    x = 11,466.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.