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Finding the Fourth Proportional to 12,454.40, 18,703.20 and 8,782.40

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Solution

The fourth proportional to 12,454.40, 18,703.20 and 8,782.40 is: 13,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.40 : 18,703.20 = 8,782.40 : x
  2. Step 2: Convert to fraction form
    12,454.40/18,703.20 = 8,782.40/x
  3. Step 3: Cross multiply
    12,454.40x = 18,703.20 × 8,782.40
  4. Step 4: Simplify right side
    12,454.40x = 164,258,983.68
  5. Step 5: Solve for x
    x = 164,258,983.68/12,454.40
  6. Step 6: Final answer
    x = 13,188.83

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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.