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Finding the Fourth Proportional to 15,507.64, 23,257.95 and 4,414.08

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Solution

The fourth proportional to 15,507.64, 23,257.95 and 4,414.08 is: 6,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.64 : 23,257.95 = 4,414.08 : x
  2. Step 2: Convert to fraction form
    15,507.64/23,257.95 = 4,414.08/x
  3. Step 3: Cross multiply
    15,507.64x = 23,257.95 × 4,414.08
  4. Step 4: Simplify right side
    15,507.64x = 102,662,451.94
  5. Step 5: Solve for x
    x = 102,662,451.94/15,507.64
  6. Step 6: Final answer
    x = 6,620.12

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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.