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Finding the Fourth Proportional to 18,413.84, 27,633.72 and 9,644.24

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Solution

The fourth proportional to 18,413.84, 27,633.72 and 9,644.24 is: 14,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413.84 : 27,633.72 = 9,644.24 : x
  2. Step 2: Convert to fraction form
    18,413.84/27,633.72 = 9,644.24/x
  3. Step 3: Cross multiply
    18,413.84x = 27,633.72 × 9,644.24
  4. Step 4: Simplify right side
    18,413.84x = 266,506,227.77
  5. Step 5: Solve for x
    x = 266,506,227.77/18,413.84
  6. Step 6: Final answer
    x = 14,473.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.