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Finding the Fourth Proportional to 21,899.57, 30,221.37 and 12,468.13

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Solution

The fourth proportional to 21,899.57, 30,221.37 and 12,468.13 is: 17,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.57 : 30,221.37 = 12,468.13 : x
  2. Step 2: Convert to fraction form
    21,899.57/30,221.37 = 12,468.13/x
  3. Step 3: Cross multiply
    21,899.57x = 30,221.37 × 12,468.13
  4. Step 4: Simplify right side
    21,899.57x = 376,803,894.38
  5. Step 5: Solve for x
    x = 376,803,894.38/21,899.57
  6. Step 6: Final answer
    x = 17,206.00

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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.