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Finding the Fourth Proportional to 17,413.66, 24,037.70 and 11,751.76

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Solution

The fourth proportional to 17,413.66, 24,037.70 and 11,751.76 is: 16,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.66 : 24,037.70 = 11,751.76 : x
  2. Step 2: Convert to fraction form
    17,413.66/24,037.70 = 11,751.76/x
  3. Step 3: Cross multiply
    17,413.66x = 24,037.70 × 11,751.76
  4. Step 4: Simplify right side
    17,413.66x = 282,485,281.35
  5. Step 5: Solve for x
    x = 282,485,281.35/17,413.66
  6. Step 6: Final answer
    x = 16,222.05

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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.