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Finding the Fourth Proportional to 23,532.26, 35,303.64 and 7,949.48

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Solution

The fourth proportional to 23,532.26, 35,303.64 and 7,949.48 is: 11,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.26 : 35,303.64 = 7,949.48 : x
  2. Step 2: Convert to fraction form
    23,532.26/35,303.64 = 7,949.48/x
  3. Step 3: Cross multiply
    23,532.26x = 35,303.64 × 7,949.48
  4. Step 4: Simplify right side
    23,532.26x = 280,645,580.11
  5. Step 5: Solve for x
    x = 280,645,580.11/23,532.26
  6. Step 6: Final answer
    x = 11,925.99

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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.