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Finding the Fourth Proportional to 13,616.17, 20,441.75 and 10,498.16

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Solution

The fourth proportional to 13,616.17, 20,441.75 and 10,498.16 is: 15,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.17 : 20,441.75 = 10,498.16 : x
  2. Step 2: Convert to fraction form
    13,616.17/20,441.75 = 10,498.16/x
  3. Step 3: Cross multiply
    13,616.17x = 20,441.75 × 10,498.16
  4. Step 4: Simplify right side
    13,616.17x = 214,600,733.35
  5. Step 5: Solve for x
    x = 214,600,733.35/13,616.17
  6. Step 6: Final answer
    x = 15,760.72

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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.