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Finding the Fourth Proportional to 15,805.38, 21,814.08 and 10,698.57

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Solution

The fourth proportional to 15,805.38, 21,814.08 and 10,698.57 is: 14,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.38 : 21,814.08 = 10,698.57 : x
  2. Step 2: Convert to fraction form
    15,805.38/21,814.08 = 10,698.57/x
  3. Step 3: Cross multiply
    15,805.38x = 21,814.08 × 10,698.57
  4. Step 4: Simplify right side
    15,805.38x = 233,379,461.87
  5. Step 5: Solve for x
    x = 233,379,461.87/15,805.38
  6. Step 6: Final answer
    x = 14,765.82

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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.