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Finding the Fourth Proportional to 17,129.72, 23,640.54 and 10,413.74

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Solution

The fourth proportional to 17,129.72, 23,640.54 and 10,413.74 is: 14,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.72 : 23,640.54 = 10,413.74 : x
  2. Step 2: Convert to fraction form
    17,129.72/23,640.54 = 10,413.74/x
  3. Step 3: Cross multiply
    17,129.72x = 23,640.54 × 10,413.74
  4. Step 4: Simplify right side
    17,129.72x = 246,186,437.02
  5. Step 5: Solve for x
    x = 246,186,437.02/17,129.72
  6. Step 6: Final answer
    x = 14,371.89

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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.