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Finding the Fourth Proportional to 12,456.32, 18,683.84 and 6,300.16

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Solution

The fourth proportional to 12,456.32, 18,683.84 and 6,300.16 is: 9,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.32 : 18,683.84 = 6,300.16 : x
  2. Step 2: Convert to fraction form
    12,456.32/18,683.84 = 6,300.16/x
  3. Step 3: Cross multiply
    12,456.32x = 18,683.84 × 6,300.16
  4. Step 4: Simplify right side
    12,456.32x = 117,711,181.41
  5. Step 5: Solve for x
    x = 117,711,181.41/12,456.32
  6. Step 6: Final answer
    x = 9,449.92

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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.