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Finding the Fourth Proportional to 21,488.65, 32,213.54 and 7,634.41

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Solution

The fourth proportional to 21,488.65, 32,213.54 and 7,634.41 is: 11,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.65 : 32,213.54 = 7,634.41 : x
  2. Step 2: Convert to fraction form
    21,488.65/32,213.54 = 7,634.41/x
  3. Step 3: Cross multiply
    21,488.65x = 32,213.54 × 7,634.41
  4. Step 4: Simplify right side
    21,488.65x = 245,931,333.74
  5. Step 5: Solve for x
    x = 245,931,333.74/21,488.65
  6. Step 6: Final answer
    x = 11,444.71

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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.