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Finding the Fourth Proportional to 16,336.71, 22,533.90 and 12,974.19

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Solution

The fourth proportional to 16,336.71, 22,533.90 and 12,974.19 is: 17,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.71 : 22,533.90 = 12,974.19 : x
  2. Step 2: Convert to fraction form
    16,336.71/22,533.90 = 12,974.19/x
  3. Step 3: Cross multiply
    16,336.71x = 22,533.90 × 12,974.19
  4. Step 4: Simplify right side
    16,336.71x = 292,359,100.04
  5. Step 5: Solve for x
    x = 292,359,100.04/16,336.71
  6. Step 6: Final answer
    x = 17,895.84

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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.