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Finding the Fourth Proportional to 13,209.79, 19,827.01 and 6,974.41

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Solution

The fourth proportional to 13,209.79, 19,827.01 and 6,974.41 is: 10,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.79 : 19,827.01 = 6,974.41 : x
  2. Step 2: Convert to fraction form
    13,209.79/19,827.01 = 6,974.41/x
  3. Step 3: Cross multiply
    13,209.79x = 19,827.01 × 6,974.41
  4. Step 4: Simplify right side
    13,209.79x = 138,281,696.81
  5. Step 5: Solve for x
    x = 138,281,696.81/13,209.79
  6. Step 6: Final answer
    x = 10,468.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.