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Finding the Fourth Proportional to 16,415.29, 22,650.47 and 9,341.83

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Solution

The fourth proportional to 16,415.29, 22,650.47 and 9,341.83 is: 12,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.29 : 22,650.47 = 9,341.83 : x
  2. Step 2: Convert to fraction form
    16,415.29/22,650.47 = 9,341.83/x
  3. Step 3: Cross multiply
    16,415.29x = 22,650.47 × 9,341.83
  4. Step 4: Simplify right side
    16,415.29x = 211,596,793.45
  5. Step 5: Solve for x
    x = 211,596,793.45/16,415.29
  6. Step 6: Final answer
    x = 12,890.23

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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.