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Finding the Fourth Proportional to 16,482.53, 22,749.96 and 9,413.06

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Solution

The fourth proportional to 16,482.53, 22,749.96 and 9,413.06 is: 12,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.53 : 22,749.96 = 9,413.06 : x
  2. Step 2: Convert to fraction form
    16,482.53/22,749.96 = 9,413.06/x
  3. Step 3: Cross multiply
    16,482.53x = 22,749.96 × 9,413.06
  4. Step 4: Simplify right side
    16,482.53x = 214,146,660.03
  5. Step 5: Solve for x
    x = 214,146,660.03/16,482.53
  6. Step 6: Final answer
    x = 12,992.34

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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.