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Finding the Fourth Proportional to 17,071.50, 23,565.15 and 11,485.74

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Solution

The fourth proportional to 17,071.50, 23,565.15 and 11,485.74 is: 15,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.50 : 23,565.15 = 11,485.74 : x
  2. Step 2: Convert to fraction form
    17,071.50/23,565.15 = 11,485.74/x
  3. Step 3: Cross multiply
    17,071.50x = 23,565.15 × 11,485.74
  4. Step 4: Simplify right side
    17,071.50x = 270,663,185.96
  5. Step 5: Solve for x
    x = 270,663,185.96/17,071.50
  6. Step 6: Final answer
    x = 15,854.68

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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.