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Finding the Fourth Proportional to 39,833.84, 59,754.36 and 11,753.84

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Solution

The fourth proportional to 39,833.84, 59,754.36 and 11,753.84 is: 17,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,833.84 : 59,754.36 = 11,753.84 : x
  2. Step 2: Convert to fraction form
    39,833.84/59,754.36 = 11,753.84/x
  3. Step 3: Cross multiply
    39,833.84x = 59,754.36 × 11,753.84
  4. Step 4: Simplify right side
    39,833.84x = 702,343,186.74
  5. Step 5: Solve for x
    x = 702,343,186.74/39,833.84
  6. Step 6: Final answer
    x = 17,631.82

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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.