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Finding the Fourth Proportional to 16,570.96, 22,868.02 and 9,017.40

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Solution

The fourth proportional to 16,570.96, 22,868.02 and 9,017.40 is: 12,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.96 : 22,868.02 = 9,017.40 : x
  2. Step 2: Convert to fraction form
    16,570.96/22,868.02 = 9,017.40/x
  3. Step 3: Cross multiply
    16,570.96x = 22,868.02 × 9,017.40
  4. Step 4: Simplify right side
    16,570.96x = 206,210,083.55
  5. Step 5: Solve for x
    x = 206,210,083.55/16,570.96
  6. Step 6: Final answer
    x = 12,444.06

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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.