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Finding the Fourth Proportional to 23,083.84, 34,593.36 and 9,926.32

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Solution

The fourth proportional to 23,083.84, 34,593.36 and 9,926.32 is: 14,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.84 : 34,593.36 = 9,926.32 : x
  2. Step 2: Convert to fraction form
    23,083.84/34,593.36 = 9,926.32/x
  3. Step 3: Cross multiply
    23,083.84x = 34,593.36 × 9,926.32
  4. Step 4: Simplify right side
    23,083.84x = 343,384,761.24
  5. Step 5: Solve for x
    x = 343,384,761.24/23,083.84
  6. Step 6: Final answer
    x = 14,875.55

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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.