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Finding the Fourth Proportional to 31,638.69, 47,471.13 and 13,860.16

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Solution

The fourth proportional to 31,638.69, 47,471.13 and 13,860.16 is: 20,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638.69 : 47,471.13 = 13,860.16 : x
  2. Step 2: Convert to fraction form
    31,638.69/47,471.13 = 13,860.16/x
  3. Step 3: Cross multiply
    31,638.69x = 47,471.13 × 13,860.16
  4. Step 4: Simplify right side
    31,638.69x = 657,957,457.18
  5. Step 5: Solve for x
    x = 657,957,457.18/31,638.69
  6. Step 6: Final answer
    x = 20,795.98

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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.