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Finding the Fourth Proportional to 16,967.88, 23,412.85 and 9,413.01

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Solution

The fourth proportional to 16,967.88, 23,412.85 and 9,413.01 is: 12,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.88 : 23,412.85 = 9,413.01 : x
  2. Step 2: Convert to fraction form
    16,967.88/23,412.85 = 9,413.01/x
  3. Step 3: Cross multiply
    16,967.88x = 23,412.85 × 9,413.01
  4. Step 4: Simplify right side
    16,967.88x = 220,385,367.65
  5. Step 5: Solve for x
    x = 220,385,367.65/16,967.88
  6. Step 6: Final answer
    x = 12,988.39

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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.