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Finding the Fourth Proportional to 15,724.52, 23,578.65 and 4,629.77

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Solution

The fourth proportional to 15,724.52, 23,578.65 and 4,629.77 is: 6,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.52 : 23,578.65 = 4,629.77 : x
  2. Step 2: Convert to fraction form
    15,724.52/23,578.65 = 4,629.77/x
  3. Step 3: Cross multiply
    15,724.52x = 23,578.65 × 4,629.77
  4. Step 4: Simplify right side
    15,724.52x = 109,163,726.41
  5. Step 5: Solve for x
    x = 109,163,726.41/15,724.52
  6. Step 6: Final answer
    x = 6,942.26

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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.