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Finding the Fourth Proportional to 13,004.74, 19,492.20 and 6,344.71

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Solution

The fourth proportional to 13,004.74, 19,492.20 and 6,344.71 is: 9,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.74 : 19,492.20 = 6,344.71 : x
  2. Step 2: Convert to fraction form
    13,004.74/19,492.20 = 6,344.71/x
  3. Step 3: Cross multiply
    13,004.74x = 19,492.20 × 6,344.71
  4. Step 4: Simplify right side
    13,004.74x = 123,672,258.80
  5. Step 5: Solve for x
    x = 123,672,258.80/13,004.74
  6. Step 6: Final answer
    x = 9,509.79

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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.