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Finding the Fourth Proportional to 14,459.70, 19,954.80 and 8,086.12

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Solution

The fourth proportional to 14,459.70, 19,954.80 and 8,086.12 is: 11,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.70 : 19,954.80 = 8,086.12 : x
  2. Step 2: Convert to fraction form
    14,459.70/19,954.80 = 8,086.12/x
  3. Step 3: Cross multiply
    14,459.70x = 19,954.80 × 8,086.12
  4. Step 4: Simplify right side
    14,459.70x = 161,356,907.38
  5. Step 5: Solve for x
    x = 161,356,907.38/14,459.70
  6. Step 6: Final answer
    x = 11,159.08

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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.