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Finding the Fourth Proportional to 15,357.26, 21,193.10 and 8,643

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Solution

The fourth proportional to 15,357.26, 21,193.10 and 8,643 is: 11,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,357.26 : 21,193.10 = 8,643 : x
  2. Step 2: Convert to fraction form
    15,357.26/21,193.10 = 8,643/x
  3. Step 3: Cross multiply
    15,357.26x = 21,193.10 × 8,643
  4. Step 4: Simplify right side
    15,357.26x = 183,171,963.30
  5. Step 5: Solve for x
    x = 183,171,963.30/15,357.26
  6. Step 6: Final answer
    x = 11,927.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.