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Finding the Fourth Proportional to 19,866.38, 27,417.08 and 12,314.20

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Solution

The fourth proportional to 19,866.38, 27,417.08 and 12,314.20 is: 16,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.38 : 27,417.08 = 12,314.20 : x
  2. Step 2: Convert to fraction form
    19,866.38/27,417.08 = 12,314.20/x
  3. Step 3: Cross multiply
    19,866.38x = 27,417.08 × 12,314.20
  4. Step 4: Simplify right side
    19,866.38x = 337,619,207.88
  5. Step 5: Solve for x
    x = 337,619,207.88/19,866.38
  6. Step 6: Final answer
    x = 16,994.50

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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.