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Finding the Fourth Proportional to 16,966.48, 23,413.14 and 9,413.14

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Solution

The fourth proportional to 16,966.48, 23,413.14 and 9,413.14 is: 12,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.48 : 23,413.14 = 9,413.14 : x
  2. Step 2: Convert to fraction form
    16,966.48/23,413.14 = 9,413.14/x
  3. Step 3: Cross multiply
    16,966.48x = 23,413.14 × 9,413.14
  4. Step 4: Simplify right side
    16,966.48x = 220,391,164.66
  5. Step 5: Solve for x
    x = 220,391,164.66/16,966.48
  6. Step 6: Final answer
    x = 12,989.80

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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.