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Finding the Fourth Proportional to 17,115.20, 23,624.16 and 10,829.60

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Solution

The fourth proportional to 17,115.20, 23,624.16 and 10,829.60 is: 14,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.20 : 23,624.16 = 10,829.60 : x
  2. Step 2: Convert to fraction form
    17,115.20/23,624.16 = 10,829.60/x
  3. Step 3: Cross multiply
    17,115.20x = 23,624.16 × 10,829.60
  4. Step 4: Simplify right side
    17,115.20x = 255,840,203.14
  5. Step 5: Solve for x
    x = 255,840,203.14/17,115.20
  6. Step 6: Final answer
    x = 14,948.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.