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Finding the Fourth Proportional to 27,135.28, 40,707.72 and 9,364.56

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Solution

The fourth proportional to 27,135.28, 40,707.72 and 9,364.56 is: 14,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.28 : 40,707.72 = 9,364.56 : x
  2. Step 2: Convert to fraction form
    27,135.28/40,707.72 = 9,364.56/x
  3. Step 3: Cross multiply
    27,135.28x = 40,707.72 × 9,364.56
  4. Step 4: Simplify right side
    27,135.28x = 381,209,886.40
  5. Step 5: Solve for x
    x = 381,209,886.40/27,135.28
  6. Step 6: Final answer
    x = 14,048.50

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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.