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Finding the Fourth Proportional to 16,801.74, 25,168.04 and 9,859.50

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Solution

The fourth proportional to 16,801.74, 25,168.04 and 9,859.50 is: 14,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.74 : 25,168.04 = 9,859.50 : x
  2. Step 2: Convert to fraction form
    16,801.74/25,168.04 = 9,859.50/x
  3. Step 3: Cross multiply
    16,801.74x = 25,168.04 × 9,859.50
  4. Step 4: Simplify right side
    16,801.74x = 248,144,290.38
  5. Step 5: Solve for x
    x = 248,144,290.38/16,801.74
  6. Step 6: Final answer
    x = 14,768.96

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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.