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Finding the Fourth Proportional to 16,228.50, 24,342.95 and 5,698.09

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Solution

The fourth proportional to 16,228.50, 24,342.95 and 5,698.09 is: 8,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.50 : 24,342.95 = 5,698.09 : x
  2. Step 2: Convert to fraction form
    16,228.50/24,342.95 = 5,698.09/x
  3. Step 3: Cross multiply
    16,228.50x = 24,342.95 × 5,698.09
  4. Step 4: Simplify right side
    16,228.50x = 138,708,319.97
  5. Step 5: Solve for x
    x = 138,708,319.97/16,228.50
  6. Step 6: Final answer
    x = 8,547.21

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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.