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Finding the Fourth Proportional to 23,097.32, 34,649.60 and 7,511.28

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Solution

The fourth proportional to 23,097.32, 34,649.60 and 7,511.28 is: 11,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.32 : 34,649.60 = 7,511.28 : x
  2. Step 2: Convert to fraction form
    23,097.32/34,649.60 = 7,511.28/x
  3. Step 3: Cross multiply
    23,097.32x = 34,649.60 × 7,511.28
  4. Step 4: Simplify right side
    23,097.32x = 260,262,847.49
  5. Step 5: Solve for x
    x = 260,262,847.49/23,097.32
  6. Step 6: Final answer
    x = 11,268.10

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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.