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Finding the Fourth Proportional to 16,570.06, 22,863.53 and 9,857.38

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Solution

The fourth proportional to 16,570.06, 22,863.53 and 9,857.38 is: 13,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.06 : 22,863.53 = 9,857.38 : x
  2. Step 2: Convert to fraction form
    16,570.06/22,863.53 = 9,857.38/x
  3. Step 3: Cross multiply
    16,570.06x = 22,863.53 × 9,857.38
  4. Step 4: Simplify right side
    16,570.06x = 225,374,503.35
  5. Step 5: Solve for x
    x = 225,374,503.35/16,570.06
  6. Step 6: Final answer
    x = 13,601.31

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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.