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Finding the Fourth Proportional to 16,071.60, 22,178.16 and 9,357.48

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Solution

The fourth proportional to 16,071.60, 22,178.16 and 9,357.48 is: 12,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.60 : 22,178.16 = 9,357.48 : x
  2. Step 2: Convert to fraction form
    16,071.60/22,178.16 = 9,357.48/x
  3. Step 3: Cross multiply
    16,071.60x = 22,178.16 × 9,357.48
  4. Step 4: Simplify right side
    16,071.60x = 207,531,688.64
  5. Step 5: Solve for x
    x = 207,531,688.64/16,071.60
  6. Step 6: Final answer
    x = 12,912.95

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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.