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Finding the Fourth Proportional to 21,891.56, 30,210.72 and 12,461

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Solution

The fourth proportional to 21,891.56, 30,210.72 and 12,461 is: 17,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.56 : 30,210.72 = 12,461 : x
  2. Step 2: Convert to fraction form
    21,891.56/30,210.72 = 12,461/x
  3. Step 3: Cross multiply
    21,891.56x = 30,210.72 × 12,461
  4. Step 4: Simplify right side
    21,891.56x = 376,455,781.92
  5. Step 5: Solve for x
    x = 376,455,781.92/21,891.56
  6. Step 6: Final answer
    x = 17,196.39

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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.