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Finding the Fourth Proportional to 24,313.78, 36,470.64 and 8,731.42

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Solution

The fourth proportional to 24,313.78, 36,470.64 and 8,731.42 is: 13,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.78 : 36,470.64 = 8,731.42 : x
  2. Step 2: Convert to fraction form
    24,313.78/36,470.64 = 8,731.42/x
  3. Step 3: Cross multiply
    24,313.78x = 36,470.64 × 8,731.42
  4. Step 4: Simplify right side
    24,313.78x = 318,440,475.51
  5. Step 5: Solve for x
    x = 318,440,475.51/24,313.78
  6. Step 6: Final answer
    x = 13,097.12

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1.5x scale

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.