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Finding the Fourth Proportional to 16,336.23, 22,542.75 and 9,261.42

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Solution

The fourth proportional to 16,336.23, 22,542.75 and 9,261.42 is: 12,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.23 : 22,542.75 = 9,261.42 : x
  2. Step 2: Convert to fraction form
    16,336.23/22,542.75 = 9,261.42/x
  3. Step 3: Cross multiply
    16,336.23x = 22,542.75 × 9,261.42
  4. Step 4: Simplify right side
    16,336.23x = 208,777,875.71
  5. Step 5: Solve for x
    x = 208,777,875.71/16,336.23
  6. Step 6: Final answer
    x = 12,780.05

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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.