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Finding the Fourth Proportional to 14,176.62, 19,561.08 and 7,889

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Solution

The fourth proportional to 14,176.62, 19,561.08 and 7,889 is: 10,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.62 : 19,561.08 = 7,889 : x
  2. Step 2: Convert to fraction form
    14,176.62/19,561.08 = 7,889/x
  3. Step 3: Cross multiply
    14,176.62x = 19,561.08 × 7,889
  4. Step 4: Simplify right side
    14,176.62x = 154,317,360.12
  5. Step 5: Solve for x
    x = 154,317,360.12/14,176.62
  6. Step 6: Final answer
    x = 10,885.34

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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.