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Finding the Fourth Proportional to 24,291.40, 36,438 and 8,493.34

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Solution

The fourth proportional to 24,291.40, 36,438 and 8,493.34 is: 12,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.40 : 36,438 = 8,493.34 : x
  2. Step 2: Convert to fraction form
    24,291.40/36,438 = 8,493.34/x
  3. Step 3: Cross multiply
    24,291.40x = 36,438 × 8,493.34
  4. Step 4: Simplify right side
    24,291.40x = 309,480,322.92
  5. Step 5: Solve for x
    x = 309,480,322.92/24,291.40
  6. Step 6: Final answer
    x = 12,740.32

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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.