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Finding the Fourth Proportional to 28,369, 42,557.82 and 9,643.24

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Solution

The fourth proportional to 28,369, 42,557.82 and 9,643.24 is: 14,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,369 : 42,557.82 = 9,643.24 : x
  2. Step 2: Convert to fraction form
    28,369/42,557.82 = 9,643.24/x
  3. Step 3: Cross multiply
    28,369x = 42,557.82 × 9,643.24
  4. Step 4: Simplify right side
    28,369x = 410,395,272.14
  5. Step 5: Solve for x
    x = 410,395,272.14/28,369
  6. Step 6: Final answer
    x = 14,466.33

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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.