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Finding the Fourth Proportional to 13,264.17, 19,909.35 and 9,744.32

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Solution

The fourth proportional to 13,264.17, 19,909.35 and 9,744.32 is: 14,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.17 : 19,909.35 = 9,744.32 : x
  2. Step 2: Convert to fraction form
    13,264.17/19,909.35 = 9,744.32/x
  3. Step 3: Cross multiply
    13,264.17x = 19,909.35 × 9,744.32
  4. Step 4: Simplify right side
    13,264.17x = 194,002,977.85
  5. Step 5: Solve for x
    x = 194,002,977.85/13,264.17
  6. Step 6: Final answer
    x = 14,626.09

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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.