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Finding the Fourth Proportional to 24,512.64, 36,768 and 9,731.52

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Solution

The fourth proportional to 24,512.64, 36,768 and 9,731.52 is: 14,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.64 : 36,768 = 9,731.52 : x
  2. Step 2: Convert to fraction form
    24,512.64/36,768 = 9,731.52/x
  3. Step 3: Cross multiply
    24,512.64x = 36,768 × 9,731.52
  4. Step 4: Simplify right side
    24,512.64x = 357,808,527.36
  5. Step 5: Solve for x
    x = 357,808,527.36/24,512.64
  6. Step 6: Final answer
    x = 14,596.90

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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.