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Finding the Fourth Proportional to 17,120.14, 23,624.40 and 9,565.90

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Solution

The fourth proportional to 17,120.14, 23,624.40 and 9,565.90 is: 13,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.14 : 23,624.40 = 9,565.90 : x
  2. Step 2: Convert to fraction form
    17,120.14/23,624.40 = 9,565.90/x
  3. Step 3: Cross multiply
    17,120.14x = 23,624.40 × 9,565.90
  4. Step 4: Simplify right side
    17,120.14x = 225,988,647.96
  5. Step 5: Solve for x
    x = 225,988,647.96/17,120.14
  6. Step 6: Final answer
    x = 13,200.16

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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.