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Finding the Fourth Proportional to 21,707.72, 32,571.71 and 7,678.37

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Solution

The fourth proportional to 21,707.72, 32,571.71 and 7,678.37 is: 11,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.72 : 32,571.71 = 7,678.37 : x
  2. Step 2: Convert to fraction form
    21,707.72/32,571.71 = 7,678.37/x
  3. Step 3: Cross multiply
    21,707.72x = 32,571.71 × 7,678.37
  4. Step 4: Simplify right side
    21,707.72x = 250,097,439.66
  5. Step 5: Solve for x
    x = 250,097,439.66/21,707.72
  6. Step 6: Final answer
    x = 11,521.13

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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.