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Finding the Fourth Proportional to 23,043.08, 34,578.04 and 9,715.24

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Solution

The fourth proportional to 23,043.08, 34,578.04 and 9,715.24 is: 14,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.08 : 34,578.04 = 9,715.24 : x
  2. Step 2: Convert to fraction form
    23,043.08/34,578.04 = 9,715.24/x
  3. Step 3: Cross multiply
    23,043.08x = 34,578.04 × 9,715.24
  4. Step 4: Simplify right side
    23,043.08x = 335,933,994.48
  5. Step 5: Solve for x
    x = 335,933,994.48/23,043.08
  6. Step 6: Final answer
    x = 14,578.52

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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.