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Finding the Fourth Proportional to 14,175.42, 19,560.87 and 7,888.38

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Solution

The fourth proportional to 14,175.42, 19,560.87 and 7,888.38 is: 10,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.42 : 19,560.87 = 7,888.38 : x
  2. Step 2: Convert to fraction form
    14,175.42/19,560.87 = 7,888.38/x
  3. Step 3: Cross multiply
    14,175.42x = 19,560.87 × 7,888.38
  4. Step 4: Simplify right side
    14,175.42x = 154,303,575.69
  5. Step 5: Solve for x
    x = 154,303,575.69/14,175.42
  6. Step 6: Final answer
    x = 10,885.29

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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.