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Finding the Fourth Proportional to 17,119.18, 23,624.02 and 9,565.57

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Solution

The fourth proportional to 17,119.18, 23,624.02 and 9,565.57 is: 13,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,119.18 : 23,624.02 = 9,565.57 : x
  2. Step 2: Convert to fraction form
    17,119.18/23,624.02 = 9,565.57/x
  3. Step 3: Cross multiply
    17,119.18x = 23,624.02 × 9,565.57
  4. Step 4: Simplify right side
    17,119.18x = 225,977,051.04
  5. Step 5: Solve for x
    x = 225,977,051.04/17,119.18
  6. Step 6: Final answer
    x = 13,200.23

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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.