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Finding the Fourth Proportional to 16,135.83, 22,251.94 and 10,468.50

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Solution

The fourth proportional to 16,135.83, 22,251.94 and 10,468.50 is: 14,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.83 : 22,251.94 = 10,468.50 : x
  2. Step 2: Convert to fraction form
    16,135.83/22,251.94 = 10,468.50/x
  3. Step 3: Cross multiply
    16,135.83x = 22,251.94 × 10,468.50
  4. Step 4: Simplify right side
    16,135.83x = 232,944,433.89
  5. Step 5: Solve for x
    x = 232,944,433.89/16,135.83
  6. Step 6: Final answer
    x = 14,436.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.