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Finding the Fourth Proportional to 13,016.65, 19,533 and 5,117.77

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Solution

The fourth proportional to 13,016.65, 19,533 and 5,117.77 is: 7,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.65 : 19,533 = 5,117.77 : x
  2. Step 2: Convert to fraction form
    13,016.65/19,533 = 5,117.77/x
  3. Step 3: Cross multiply
    13,016.65x = 19,533 × 5,117.77
  4. Step 4: Simplify right side
    13,016.65x = 99,965,401.41
  5. Step 5: Solve for x
    x = 99,965,401.41/13,016.65
  6. Step 6: Final answer
    x = 7,679.81

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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.