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Finding the Fourth Proportional to 17,697.21, 24,413.99 and 11,411.61

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Solution

The fourth proportional to 17,697.21, 24,413.99 and 11,411.61 is: 15,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.21 : 24,413.99 = 11,411.61 : x
  2. Step 2: Convert to fraction form
    17,697.21/24,413.99 = 11,411.61/x
  3. Step 3: Cross multiply
    17,697.21x = 24,413.99 × 11,411.61
  4. Step 4: Simplify right side
    17,697.21x = 278,602,875.37
  5. Step 5: Solve for x
    x = 278,602,875.37/17,697.21
  6. Step 6: Final answer
    x = 15,742.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.