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Finding the Fourth Proportional to 16,001.75, 22,086.37 and 9,719.39

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Solution

The fourth proportional to 16,001.75, 22,086.37 and 9,719.39 is: 13,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.75 : 22,086.37 = 9,719.39 : x
  2. Step 2: Convert to fraction form
    16,001.75/22,086.37 = 9,719.39/x
  3. Step 3: Cross multiply
    16,001.75x = 22,086.37 × 9,719.39
  4. Step 4: Simplify right side
    16,001.75x = 214,666,111.08
  5. Step 5: Solve for x
    x = 214,666,111.08/16,001.75
  6. Step 6: Final answer
    x = 13,415.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.