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Finding the Fourth Proportional to 12,992.36, 17,929.86 and 7,403

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Solution

The fourth proportional to 12,992.36, 17,929.86 and 7,403 is: 10,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.36 : 17,929.86 = 7,403 : x
  2. Step 2: Convert to fraction form
    12,992.36/17,929.86 = 7,403/x
  3. Step 3: Cross multiply
    12,992.36x = 17,929.86 × 7,403
  4. Step 4: Simplify right side
    12,992.36x = 132,734,753.58
  5. Step 5: Solve for x
    x = 132,734,753.58/12,992.36
  6. Step 6: Final answer
    x = 10,216.37

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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.