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Finding the Fourth Proportional to 16,952.64, 23,413.80 and 11,565.83

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Solution

The fourth proportional to 16,952.64, 23,413.80 and 11,565.83 is: 15,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.64 : 23,413.80 = 11,565.83 : x
  2. Step 2: Convert to fraction form
    16,952.64/23,413.80 = 11,565.83/x
  3. Step 3: Cross multiply
    16,952.64x = 23,413.80 × 11,565.83
  4. Step 4: Simplify right side
    16,952.64x = 270,799,913.39
  5. Step 5: Solve for x
    x = 270,799,913.39/16,952.64
  6. Step 6: Final answer
    x = 15,973.91

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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.