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Finding the Fourth Proportional to 23,732.84, 35,599.26 and 9,699.47

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Solution

The fourth proportional to 23,732.84, 35,599.26 and 9,699.47 is: 14,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.84 : 35,599.26 = 9,699.47 : x
  2. Step 2: Convert to fraction form
    23,732.84/35,599.26 = 9,699.47/x
  3. Step 3: Cross multiply
    23,732.84x = 35,599.26 × 9,699.47
  4. Step 4: Simplify right side
    23,732.84x = 345,293,954.39
  5. Step 5: Solve for x
    x = 345,293,954.39/23,732.84
  6. Step 6: Final answer
    x = 14,549.21

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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.