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Finding the Fourth Proportional to 14,189.88, 19,581.84 and 7,902.30

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Solution

The fourth proportional to 14,189.88, 19,581.84 and 7,902.30 is: 10,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.88 : 19,581.84 = 7,902.30 : x
  2. Step 2: Convert to fraction form
    14,189.88/19,581.84 = 7,902.30/x
  3. Step 3: Cross multiply
    14,189.88x = 19,581.84 × 7,902.30
  4. Step 4: Simplify right side
    14,189.88x = 154,741,574.23
  5. Step 5: Solve for x
    x = 154,741,574.23/14,189.88
  6. Step 6: Final answer
    x = 10,905.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.