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Finding the Fourth Proportional to 16,198.60, 24,303.66 and 6,971.08

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Solution

The fourth proportional to 16,198.60, 24,303.66 and 6,971.08 is: 10,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.60 : 24,303.66 = 6,971.08 : x
  2. Step 2: Convert to fraction form
    16,198.60/24,303.66 = 6,971.08/x
  3. Step 3: Cross multiply
    16,198.60x = 24,303.66 × 6,971.08
  4. Step 4: Simplify right side
    16,198.60x = 169,422,758.15
  5. Step 5: Solve for x
    x = 169,422,758.15/16,198.60
  6. Step 6: Final answer
    x = 10,459.10

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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.