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Finding the Fourth Proportional to 15,604.67, 23,413.80 and 8,207.30

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Solution

The fourth proportional to 15,604.67, 23,413.80 and 8,207.30 is: 12,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,604.67 : 23,413.80 = 8,207.30 : x
  2. Step 2: Convert to fraction form
    15,604.67/23,413.80 = 8,207.30/x
  3. Step 3: Cross multiply
    15,604.67x = 23,413.80 × 8,207.30
  4. Step 4: Simplify right side
    15,604.67x = 192,164,080.74
  5. Step 5: Solve for x
    x = 192,164,080.74/15,604.67
  6. Step 6: Final answer
    x = 12,314.52

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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.