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Finding the Fourth Proportional to 16,219, 24,330.06 and 7,456.36

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Solution

The fourth proportional to 16,219, 24,330.06 and 7,456.36 is: 11,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219 : 24,330.06 = 7,456.36 : x
  2. Step 2: Convert to fraction form
    16,219/24,330.06 = 7,456.36/x
  3. Step 3: Cross multiply
    16,219x = 24,330.06 × 7,456.36
  4. Step 4: Simplify right side
    16,219x = 181,413,686.18
  5. Step 5: Solve for x
    x = 181,413,686.18/16,219
  6. Step 6: Final answer
    x = 11,185.26

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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.