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Finding the Fourth Proportional to 23,271, 32,113.74 and 13,839.36

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Solution

The fourth proportional to 23,271, 32,113.74 and 13,839.36 is: 19,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,271 : 32,113.74 = 13,839.36 : x
  2. Step 2: Convert to fraction form
    23,271/32,113.74 = 13,839.36/x
  3. Step 3: Cross multiply
    23,271x = 32,113.74 × 13,839.36
  4. Step 4: Simplify right side
    23,271x = 444,433,608.81
  5. Step 5: Solve for x
    x = 444,433,608.81/23,271
  6. Step 6: Final answer
    x = 19,098.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.