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Finding the Fourth Proportional to 16,648.24, 22,959.34 and 13,014.76

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Solution

The fourth proportional to 16,648.24, 22,959.34 and 13,014.76 is: 17,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.24 : 22,959.34 = 13,014.76 : x
  2. Step 2: Convert to fraction form
    16,648.24/22,959.34 = 13,014.76/x
  3. Step 3: Cross multiply
    16,648.24x = 22,959.34 × 13,014.76
  4. Step 4: Simplify right side
    16,648.24x = 298,810,299.86
  5. Step 5: Solve for x
    x = 298,810,299.86/16,648.24
  6. Step 6: Final answer
    x = 17,948.46

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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.