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Finding the Fourth Proportional to 21,536.76, 32,307 and 5,954.40

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Solution

The fourth proportional to 21,536.76, 32,307 and 5,954.40 is: 8,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.76 : 32,307 = 5,954.40 : x
  2. Step 2: Convert to fraction form
    21,536.76/32,307 = 5,954.40/x
  3. Step 3: Cross multiply
    21,536.76x = 32,307 × 5,954.40
  4. Step 4: Simplify right side
    21,536.76x = 192,368,800.80
  5. Step 5: Solve for x
    x = 192,368,800.80/21,536.76
  6. Step 6: Final answer
    x = 8,932.11

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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.