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Finding the Fourth Proportional to 24,203.70, 36,318.45 and 9,413.10

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Solution

The fourth proportional to 24,203.70, 36,318.45 and 9,413.10 is: 14,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.70 : 36,318.45 = 9,413.10 : x
  2. Step 2: Convert to fraction form
    24,203.70/36,318.45 = 9,413.10/x
  3. Step 3: Cross multiply
    24,203.70x = 36,318.45 × 9,413.10
  4. Step 4: Simplify right side
    24,203.70x = 341,869,201.70
  5. Step 5: Solve for x
    x = 341,869,201.70/24,203.70
  6. Step 6: Final answer
    x = 14,124.67

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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.