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Finding the Fourth Proportional to 13,807.49, 20,719.76 and 6,016.91

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Solution

The fourth proportional to 13,807.49, 20,719.76 and 6,016.91 is: 9,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.49 : 20,719.76 = 6,016.91 : x
  2. Step 2: Convert to fraction form
    13,807.49/20,719.76 = 6,016.91/x
  3. Step 3: Cross multiply
    13,807.49x = 20,719.76 × 6,016.91
  4. Step 4: Simplify right side
    13,807.49x = 124,668,797.46
  5. Step 5: Solve for x
    x = 124,668,797.46/13,807.49
  6. Step 6: Final answer
    x = 9,029.07

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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.