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Finding the Fourth Proportional to 16,281.74, 24,424.40 and 5,185.84

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Solution

The fourth proportional to 16,281.74, 24,424.40 and 5,185.84 is: 7,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.74 : 24,424.40 = 5,185.84 : x
  2. Step 2: Convert to fraction form
    16,281.74/24,424.40 = 5,185.84/x
  3. Step 3: Cross multiply
    16,281.74x = 24,424.40 × 5,185.84
  4. Step 4: Simplify right side
    16,281.74x = 126,661,030.50
  5. Step 5: Solve for x
    x = 126,661,030.50/16,281.74
  6. Step 6: Final answer
    x = 7,779.33

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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.