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Finding the Fourth Proportional to 15,536.98, 21,441 and 8,463.39

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Solution

The fourth proportional to 15,536.98, 21,441 and 8,463.39 is: 11,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.98 : 21,441 = 8,463.39 : x
  2. Step 2: Convert to fraction form
    15,536.98/21,441 = 8,463.39/x
  3. Step 3: Cross multiply
    15,536.98x = 21,441 × 8,463.39
  4. Step 4: Simplify right side
    15,536.98x = 181,463,437.79
  5. Step 5: Solve for x
    x = 181,463,437.79/15,536.98
  6. Step 6: Final answer
    x = 11,679.45

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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.