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Finding the Fourth Proportional to 21,752.32, 32,630.64 and 8,613.76

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Solution

The fourth proportional to 21,752.32, 32,630.64 and 8,613.76 is: 12,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.32 : 32,630.64 = 8,613.76 : x
  2. Step 2: Convert to fraction form
    21,752.32/32,630.64 = 8,613.76/x
  3. Step 3: Cross multiply
    21,752.32x = 32,630.64 × 8,613.76
  4. Step 4: Simplify right side
    21,752.32x = 281,072,501.61
  5. Step 5: Solve for x
    x = 281,072,501.61/21,752.32
  6. Step 6: Final answer
    x = 12,921.50

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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.