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Finding the Fourth Proportional to 13,281, 19,908.12 and 8,354.16

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Solution

The fourth proportional to 13,281, 19,908.12 and 8,354.16 is: 12,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281 : 19,908.12 = 8,354.16 : x
  2. Step 2: Convert to fraction form
    13,281/19,908.12 = 8,354.16/x
  3. Step 3: Cross multiply
    13,281x = 19,908.12 × 8,354.16
  4. Step 4: Simplify right side
    13,281x = 166,315,619.78
  5. Step 5: Solve for x
    x = 166,315,619.78/13,281
  6. Step 6: Final answer
    x = 12,522.82

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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.