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Finding the Fourth Proportional to 16,693.95, 25,044.29 and 6,164.04

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Solution

The fourth proportional to 16,693.95, 25,044.29 and 6,164.04 is: 9,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693.95 : 25,044.29 = 6,164.04 : x
  2. Step 2: Convert to fraction form
    16,693.95/25,044.29 = 6,164.04/x
  3. Step 3: Cross multiply
    16,693.95x = 25,044.29 × 6,164.04
  4. Step 4: Simplify right side
    16,693.95x = 154,373,974.51
  5. Step 5: Solve for x
    x = 154,373,974.51/16,693.95
  6. Step 6: Final answer
    x = 9,247.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.