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Finding the Fourth Proportional to 21,343.30, 32,006.74 and 14,749.49

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Solution

The fourth proportional to 21,343.30, 32,006.74 and 14,749.49 is: 22,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.30 : 32,006.74 = 14,749.49 : x
  2. Step 2: Convert to fraction form
    21,343.30/32,006.74 = 14,749.49/x
  3. Step 3: Cross multiply
    21,343.30x = 32,006.74 × 14,749.49
  4. Step 4: Simplify right side
    21,343.30x = 472,083,017.82
  5. Step 5: Solve for x
    x = 472,083,017.82/21,343.30
  6. Step 6: Final answer
    x = 22,118.56

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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.