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Finding the Fourth Proportional to 16,413, 22,650.76 and 9,340.08

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Solution

The fourth proportional to 16,413, 22,650.76 and 9,340.08 is: 12,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 22,650.76 = 9,340.08 : x
  2. Step 2: Convert to fraction form
    16,413/22,650.76 = 9,340.08/x
  3. Step 3: Cross multiply
    16,413x = 22,650.76 × 9,340.08
  4. Step 4: Simplify right side
    16,413x = 211,559,910.46
  5. Step 5: Solve for x
    x = 211,559,910.46/16,413
  6. Step 6: Final answer
    x = 12,889.78

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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.