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Finding the Fourth Proportional to 21,316.88, 31,973.97 and 6,524.39

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Solution

The fourth proportional to 21,316.88, 31,973.97 and 6,524.39 is: 9,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.88 : 31,973.97 = 6,524.39 : x
  2. Step 2: Convert to fraction form
    21,316.88/31,973.97 = 6,524.39/x
  3. Step 3: Cross multiply
    21,316.88x = 31,973.97 × 6,524.39
  4. Step 4: Simplify right side
    21,316.88x = 208,610,650.13
  5. Step 5: Solve for x
    x = 208,610,650.13/21,316.88
  6. Step 6: Final answer
    x = 9,786.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.