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Finding the Fourth Proportional to 21,407.49, 32,111.10 and 5,824.98

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Solution

The fourth proportional to 21,407.49, 32,111.10 and 5,824.98 is: 8,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.49 : 32,111.10 = 5,824.98 : x
  2. Step 2: Convert to fraction form
    21,407.49/32,111.10 = 5,824.98/x
  3. Step 3: Cross multiply
    21,407.49x = 32,111.10 × 5,824.98
  4. Step 4: Simplify right side
    21,407.49x = 187,046,515.28
  5. Step 5: Solve for x
    x = 187,046,515.28/21,407.49
  6. Step 6: Final answer
    x = 8,737.43

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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.