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Finding the Fourth Proportional to 16,655.34, 22,984.92 and 9,582.42

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Solution

The fourth proportional to 16,655.34, 22,984.92 and 9,582.42 is: 13,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.34 : 22,984.92 = 9,582.42 : x
  2. Step 2: Convert to fraction form
    16,655.34/22,984.92 = 9,582.42/x
  3. Step 3: Cross multiply
    16,655.34x = 22,984.92 × 9,582.42
  4. Step 4: Simplify right side
    16,655.34x = 220,251,157.11
  5. Step 5: Solve for x
    x = 220,251,157.11/16,655.34
  6. Step 6: Final answer
    x = 13,224.06

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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.