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Finding the Fourth Proportional to 16,071.78, 22,181.26 and 9,698.70

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Solution

The fourth proportional to 16,071.78, 22,181.26 and 9,698.70 is: 13,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.78 : 22,181.26 = 9,698.70 : x
  2. Step 2: Convert to fraction form
    16,071.78/22,181.26 = 9,698.70/x
  3. Step 3: Cross multiply
    16,071.78x = 22,181.26 × 9,698.70
  4. Step 4: Simplify right side
    16,071.78x = 215,129,386.36
  5. Step 5: Solve for x
    x = 215,129,386.36/16,071.78
  6. Step 6: Final answer
    x = 13,385.54

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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.