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Finding the Fourth Proportional to 16,240, 24,342.54 and 6,877.84

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Solution

The fourth proportional to 16,240, 24,342.54 and 6,877.84 is: 10,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240 : 24,342.54 = 6,877.84 : x
  2. Step 2: Convert to fraction form
    16,240/24,342.54 = 6,877.84/x
  3. Step 3: Cross multiply
    16,240x = 24,342.54 × 6,877.84
  4. Step 4: Simplify right side
    16,240x = 167,424,095.31
  5. Step 5: Solve for x
    x = 167,424,095.31/16,240
  6. Step 6: Final answer
    x = 10,309.37

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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.