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Finding the Fourth Proportional to 27,005.20, 40,507.80 and 9,468.70

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Solution

The fourth proportional to 27,005.20, 40,507.80 and 9,468.70 is: 14,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.20 : 40,507.80 = 9,468.70 : x
  2. Step 2: Convert to fraction form
    27,005.20/40,507.80 = 9,468.70/x
  3. Step 3: Cross multiply
    27,005.20x = 40,507.80 × 9,468.70
  4. Step 4: Simplify right side
    27,005.20x = 383,556,205.86
  5. Step 5: Solve for x
    x = 383,556,205.86/27,005.20
  6. Step 6: Final answer
    x = 14,203.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.