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Finding the Fourth Proportional to 27,300.20, 40,960.14 and 9,533.48

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Solution

The fourth proportional to 27,300.20, 40,960.14 and 9,533.48 is: 14,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.20 : 40,960.14 = 9,533.48 : x
  2. Step 2: Convert to fraction form
    27,300.20/40,960.14 = 9,533.48/x
  3. Step 3: Cross multiply
    27,300.20x = 40,960.14 × 9,533.48
  4. Step 4: Simplify right side
    27,300.20x = 390,492,470.69
  5. Step 5: Solve for x
    x = 390,492,470.69/27,300.20
  6. Step 6: Final answer
    x = 14,303.65

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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.