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Finding the Fourth Proportional to 39,882.16, 59,821.08 and 12,178

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Solution

The fourth proportional to 39,882.16, 59,821.08 and 12,178 is: 18,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882.16 : 59,821.08 = 12,178 : x
  2. Step 2: Convert to fraction form
    39,882.16/59,821.08 = 12,178/x
  3. Step 3: Cross multiply
    39,882.16x = 59,821.08 × 12,178
  4. Step 4: Simplify right side
    39,882.16x = 728,501,112.24
  5. Step 5: Solve for x
    x = 728,501,112.24/39,882.16
  6. Step 6: Final answer
    x = 18,266.34

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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.