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Finding the Fourth Proportional to 23,688.88, 35,533.44 and 9,649.12

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Solution

The fourth proportional to 23,688.88, 35,533.44 and 9,649.12 is: 14,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.88 : 35,533.44 = 9,649.12 : x
  2. Step 2: Convert to fraction form
    23,688.88/35,533.44 = 9,649.12/x
  3. Step 3: Cross multiply
    23,688.88x = 35,533.44 × 9,649.12
  4. Step 4: Simplify right side
    23,688.88x = 342,866,426.57
  5. Step 5: Solve for x
    x = 342,866,426.57/23,688.88
  6. Step 6: Final answer
    x = 14,473.73

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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.