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Finding the Fourth Proportional to 16,570.53, 22,867.16 and 9,017.01

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Solution

The fourth proportional to 16,570.53, 22,867.16 and 9,017.01 is: 12,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.53 : 22,867.16 = 9,017.01 : x
  2. Step 2: Convert to fraction form
    16,570.53/22,867.16 = 9,017.01/x
  3. Step 3: Cross multiply
    16,570.53x = 22,867.16 × 9,017.01
  4. Step 4: Simplify right side
    16,570.53x = 206,193,365.31
  5. Step 5: Solve for x
    x = 206,193,365.31/16,570.53
  6. Step 6: Final answer
    x = 12,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.