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Finding the Fourth Proportional to 24,765.12, 34,168.50 and 14,009.40

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Solution

The fourth proportional to 24,765.12, 34,168.50 and 14,009.40 is: 19,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.12 : 34,168.50 = 14,009.40 : x
  2. Step 2: Convert to fraction form
    24,765.12/34,168.50 = 14,009.40/x
  3. Step 3: Cross multiply
    24,765.12x = 34,168.50 × 14,009.40
  4. Step 4: Simplify right side
    24,765.12x = 478,680,183.90
  5. Step 5: Solve for x
    x = 478,680,183.90/24,765.12
  6. Step 6: Final answer
    x = 19,328.81

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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.