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Finding the Fourth Proportional to 13,033.16, 17,985.54 and 7,367.82

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Solution

The fourth proportional to 13,033.16, 17,985.54 and 7,367.82 is: 10,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.16 : 17,985.54 = 7,367.82 : x
  2. Step 2: Convert to fraction form
    13,033.16/17,985.54 = 7,367.82/x
  3. Step 3: Cross multiply
    13,033.16x = 17,985.54 × 7,367.82
  4. Step 4: Simplify right side
    13,033.16x = 132,514,221.32
  5. Step 5: Solve for x
    x = 132,514,221.32/13,033.16
  6. Step 6: Final answer
    x = 10,167.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.