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Finding the Fourth Proportional to 12,987, 17,925.30 and 7,401.24

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Solution

The fourth proportional to 12,987, 17,925.30 and 7,401.24 is: 10,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987 : 17,925.30 = 7,401.24 : x
  2. Step 2: Convert to fraction form
    12,987/17,925.30 = 7,401.24/x
  3. Step 3: Cross multiply
    12,987x = 17,925.30 × 7,401.24
  4. Step 4: Simplify right side
    12,987x = 132,669,447.37
  5. Step 5: Solve for x
    x = 132,669,447.37/12,987
  6. Step 6: Final answer
    x = 10,215.56

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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.