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Finding the Fourth Proportional to 14,137.38, 19,507.05 and 9,166.50

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Solution

The fourth proportional to 14,137.38, 19,507.05 and 9,166.50 is: 12,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.38 : 19,507.05 = 9,166.50 : x
  2. Step 2: Convert to fraction form
    14,137.38/19,507.05 = 9,166.50/x
  3. Step 3: Cross multiply
    14,137.38x = 19,507.05 × 9,166.50
  4. Step 4: Simplify right side
    14,137.38x = 178,811,373.83
  5. Step 5: Solve for x
    x = 178,811,373.83/14,137.38
  6. Step 6: Final answer
    x = 12,648.13

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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.