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Finding the Fourth Proportional to 16,071.56, 22,178.98 and 9,698.48

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Solution

The fourth proportional to 16,071.56, 22,178.98 and 9,698.48 is: 13,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.56 : 22,178.98 = 9,698.48 : x
  2. Step 2: Convert to fraction form
    16,071.56/22,178.98 = 9,698.48/x
  3. Step 3: Cross multiply
    16,071.56x = 22,178.98 × 9,698.48
  4. Step 4: Simplify right side
    16,071.56x = 215,102,393.95
  5. Step 5: Solve for x
    x = 215,102,393.95/16,071.56
  6. Step 6: Final answer
    x = 13,384.04

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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.