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Finding the Fourth Proportional to 14,166.03, 19,549.41 and 7,878.42

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Solution

The fourth proportional to 14,166.03, 19,549.41 and 7,878.42 is: 10,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.03 : 19,549.41 = 7,878.42 : x
  2. Step 2: Convert to fraction form
    14,166.03/19,549.41 = 7,878.42/x
  3. Step 3: Cross multiply
    14,166.03x = 19,549.41 × 7,878.42
  4. Step 4: Simplify right side
    14,166.03x = 154,018,462.73
  5. Step 5: Solve for x
    x = 154,018,462.73/14,166.03
  6. Step 6: Final answer
    x = 10,872.38

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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.