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Finding the Fourth Proportional to 16,965.54, 23,412.42 and 9,413.02

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Solution

The fourth proportional to 16,965.54, 23,412.42 and 9,413.02 is: 12,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.54 : 23,412.42 = 9,413.02 : x
  2. Step 2: Convert to fraction form
    16,965.54/23,412.42 = 9,413.02/x
  3. Step 3: Cross multiply
    16,965.54x = 23,412.42 × 9,413.02
  4. Step 4: Simplify right side
    16,965.54x = 220,381,577.71
  5. Step 5: Solve for x
    x = 220,381,577.71/16,965.54
  6. Step 6: Final answer
    x = 12,989.95

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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.