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Finding the Fourth Proportional to 16,219, 24,335.82 and 9,293.50

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Solution

The fourth proportional to 16,219, 24,335.82 and 9,293.50 is: 13,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219 : 24,335.82 = 9,293.50 : x
  2. Step 2: Convert to fraction form
    16,219/24,335.82 = 9,293.50/x
  3. Step 3: Cross multiply
    16,219x = 24,335.82 × 9,293.50
  4. Step 4: Simplify right side
    16,219x = 226,164,943.17
  5. Step 5: Solve for x
    x = 226,164,943.17/16,219
  6. Step 6: Final answer
    x = 13,944.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.