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Finding the Fourth Proportional to 16,411.42, 22,647.27 and 9,338.86

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Solution

The fourth proportional to 16,411.42, 22,647.27 and 9,338.86 is: 12,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.42 : 22,647.27 = 9,338.86 : x
  2. Step 2: Convert to fraction form
    16,411.42/22,647.27 = 9,338.86/x
  3. Step 3: Cross multiply
    16,411.42x = 22,647.27 × 9,338.86
  4. Step 4: Simplify right side
    16,411.42x = 211,499,683.91
  5. Step 5: Solve for x
    x = 211,499,683.91/16,411.42
  6. Step 6: Final answer
    x = 12,887.35

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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.