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Finding the Fourth Proportional to 23,984.32, 35,962.56 and 7,339.60

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Solution

The fourth proportional to 23,984.32, 35,962.56 and 7,339.60 is: 11,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.32 : 35,962.56 = 7,339.60 : x
  2. Step 2: Convert to fraction form
    23,984.32/35,962.56 = 7,339.60/x
  3. Step 3: Cross multiply
    23,984.32x = 35,962.56 × 7,339.60
  4. Step 4: Simplify right side
    23,984.32x = 263,950,805.38
  5. Step 5: Solve for x
    x = 263,950,805.38/23,984.32
  6. Step 6: Final answer
    x = 11,005.14

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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.