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Finding the Fourth Proportional to 23,047.67, 31,808.82 and 12,978.08

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Solution

The fourth proportional to 23,047.67, 31,808.82 and 12,978.08 is: 17,911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.67 : 31,808.82 = 12,978.08 : x
  2. Step 2: Convert to fraction form
    23,047.67/31,808.82 = 12,978.08/x
  3. Step 3: Cross multiply
    23,047.67x = 31,808.82 × 12,978.08
  4. Step 4: Simplify right side
    23,047.67x = 412,817,251.62
  5. Step 5: Solve for x
    x = 412,817,251.62/23,047.67
  6. Step 6: Final answer
    x = 17,911.46

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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.