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Finding the Fourth Proportional to 21,721.66, 32,585.07 and 7,678.79

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Solution

The fourth proportional to 21,721.66, 32,585.07 and 7,678.79 is: 11,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.66 : 32,585.07 = 7,678.79 : x
  2. Step 2: Convert to fraction form
    21,721.66/32,585.07 = 7,678.79/x
  3. Step 3: Cross multiply
    21,721.66x = 32,585.07 × 7,678.79
  4. Step 4: Simplify right side
    21,721.66x = 250,213,909.67
  5. Step 5: Solve for x
    x = 250,213,909.67/21,721.66
  6. Step 6: Final answer
    x = 11,519.10

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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.