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Finding the Fourth Proportional to 13,016.83, 19,532.13 and 7,097.98

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Solution

The fourth proportional to 13,016.83, 19,532.13 and 7,097.98 is: 10,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.83 : 19,532.13 = 7,097.98 : x
  2. Step 2: Convert to fraction form
    13,016.83/19,532.13 = 7,097.98/x
  3. Step 3: Cross multiply
    13,016.83x = 19,532.13 × 7,097.98
  4. Step 4: Simplify right side
    13,016.83x = 138,638,668.10
  5. Step 5: Solve for x
    x = 138,638,668.10/13,016.83
  6. Step 6: Final answer
    x = 10,650.72

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Why These Related Problems?

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