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Finding the Fourth Proportional to 16,570.68, 22,867.96 and 9,017.42

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Solution

The fourth proportional to 16,570.68, 22,867.96 and 9,017.42 is: 12,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.68 : 22,867.96 = 9,017.42 : x
  2. Step 2: Convert to fraction form
    16,570.68/22,867.96 = 9,017.42/x
  3. Step 3: Cross multiply
    16,570.68x = 22,867.96 × 9,017.42
  4. Step 4: Simplify right side
    16,570.68x = 206,209,999.86
  5. Step 5: Solve for x
    x = 206,209,999.86/16,570.68
  6. Step 6: Final answer
    x = 12,444.27

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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.