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Finding the Fourth Proportional to 28,697.82, 43,053.66 and 9,975.14

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Solution

The fourth proportional to 28,697.82, 43,053.66 and 9,975.14 is: 14,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,697.82 : 43,053.66 = 9,975.14 : x
  2. Step 2: Convert to fraction form
    28,697.82/43,053.66 = 9,975.14/x
  3. Step 3: Cross multiply
    28,697.82x = 43,053.66 × 9,975.14
  4. Step 4: Simplify right side
    28,697.82x = 429,466,286.01
  5. Step 5: Solve for x
    x = 429,466,286.01/28,697.82
  6. Step 6: Final answer
    x = 14,965.12

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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.