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Finding the Fourth Proportional to 27,009.78, 40,518.72 and 9,476.52

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Solution

The fourth proportional to 27,009.78, 40,518.72 and 9,476.52 is: 14,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.78 : 40,518.72 = 9,476.52 : x
  2. Step 2: Convert to fraction form
    27,009.78/40,518.72 = 9,476.52/x
  3. Step 3: Cross multiply
    27,009.78x = 40,518.72 × 9,476.52
  4. Step 4: Simplify right side
    27,009.78x = 383,976,460.45
  5. Step 5: Solve for x
    x = 383,976,460.45/27,009.78
  6. Step 6: Final answer
    x = 14,216.20

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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.