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Finding the Fourth Proportional to 15,803.30, 21,805.71 and 10,211.06

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Solution

The fourth proportional to 15,803.30, 21,805.71 and 10,211.06 is: 14,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.30 : 21,805.71 = 10,211.06 : x
  2. Step 2: Convert to fraction form
    15,803.30/21,805.71 = 10,211.06/x
  3. Step 3: Cross multiply
    15,803.30x = 21,805.71 × 10,211.06
  4. Step 4: Simplify right side
    15,803.30x = 222,659,429.38
  5. Step 5: Solve for x
    x = 222,659,429.38/15,803.30
  6. Step 6: Final answer
    x = 14,089.42

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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.