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Finding the Fourth Proportional to 13,416.88, 20,115.30 and 8,153.08

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Solution

The fourth proportional to 13,416.88, 20,115.30 and 8,153.08 is: 12,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.88 : 20,115.30 = 8,153.08 : x
  2. Step 2: Convert to fraction form
    13,416.88/20,115.30 = 8,153.08/x
  3. Step 3: Cross multiply
    13,416.88x = 20,115.30 × 8,153.08
  4. Step 4: Simplify right side
    13,416.88x = 164,001,650.12
  5. Step 5: Solve for x
    x = 164,001,650.12/13,416.88
  6. Step 6: Final answer
    x = 12,223.53

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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.