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Finding the Fourth Proportional to 12,024.86, 16,594.34 and 6,719.76

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Solution

The fourth proportional to 12,024.86, 16,594.34 and 6,719.76 is: 9,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.86 : 16,594.34 = 6,719.76 : x
  2. Step 2: Convert to fraction form
    12,024.86/16,594.34 = 6,719.76/x
  3. Step 3: Cross multiply
    12,024.86x = 16,594.34 × 6,719.76
  4. Step 4: Simplify right side
    12,024.86x = 111,509,948.56
  5. Step 5: Solve for x
    x = 111,509,948.56/12,024.86
  6. Step 6: Final answer
    x = 9,273.29

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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.