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Finding the Fourth Proportional to 13,008.09, 19,513.05 and 5,216.91

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Solution

The fourth proportional to 13,008.09, 19,513.05 and 5,216.91 is: 7,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.09 : 19,513.05 = 5,216.91 : x
  2. Step 2: Convert to fraction form
    13,008.09/19,513.05 = 5,216.91/x
  3. Step 3: Cross multiply
    13,008.09x = 19,513.05 × 5,216.91
  4. Step 4: Simplify right side
    13,008.09x = 101,797,762.28
  5. Step 5: Solve for x
    x = 101,797,762.28/13,008.09
  6. Step 6: Final answer
    x = 7,825.72

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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.