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Finding the Fourth Proportional to 14,190, 19,587.06 and 8,601

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Solution

The fourth proportional to 14,190, 19,587.06 and 8,601 is: 11,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190 : 19,587.06 = 8,601 : x
  2. Step 2: Convert to fraction form
    14,190/19,587.06 = 8,601/x
  3. Step 3: Cross multiply
    14,190x = 19,587.06 × 8,601
  4. Step 4: Simplify right side
    14,190x = 168,468,303.06
  5. Step 5: Solve for x
    x = 168,468,303.06/14,190
  6. Step 6: Final answer
    x = 11,872.33

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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.