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Finding the Fourth Proportional to 27,002.52, 40,502.40 and 9,471

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Solution

The fourth proportional to 27,002.52, 40,502.40 and 9,471 is: 14,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.52 : 40,502.40 = 9,471 : x
  2. Step 2: Convert to fraction form
    27,002.52/40,502.40 = 9,471/x
  3. Step 3: Cross multiply
    27,002.52x = 40,502.40 × 9,471
  4. Step 4: Simplify right side
    27,002.52x = 383,598,230.40
  5. Step 5: Solve for x
    x = 383,598,230.40/27,002.52
  6. Step 6: Final answer
    x = 14,206.02

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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.