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Finding the Fourth Proportional to 23,015.82, 31,762.98 and 12,947.43

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Solution

The fourth proportional to 23,015.82, 31,762.98 and 12,947.43 is: 17,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,015.82 : 31,762.98 = 12,947.43 : x
  2. Step 2: Convert to fraction form
    23,015.82/31,762.98 = 12,947.43/x
  3. Step 3: Cross multiply
    23,015.82x = 31,762.98 × 12,947.43
  4. Step 4: Simplify right side
    23,015.82x = 411,248,960.14
  5. Step 5: Solve for x
    x = 411,248,960.14/23,015.82
  6. Step 6: Final answer
    x = 17,868.10

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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.