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Finding the Fourth Proportional to 15,284.10, 22,929.78 and 5,424.24

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Solution

The fourth proportional to 15,284.10, 22,929.78 and 5,424.24 is: 8,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.10 : 22,929.78 = 5,424.24 : x
  2. Step 2: Convert to fraction form
    15,284.10/22,929.78 = 5,424.24/x
  3. Step 3: Cross multiply
    15,284.10x = 22,929.78 × 5,424.24
  4. Step 4: Simplify right side
    15,284.10x = 124,376,629.87
  5. Step 5: Solve for x
    x = 124,376,629.87/15,284.10
  6. Step 6: Final answer
    x = 8,137.65

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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.