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Finding the Fourth Proportional to 14,188.32, 19,579.86 and 7,902.18

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Solution

The fourth proportional to 14,188.32, 19,579.86 and 7,902.18 is: 10,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.32 : 19,579.86 = 7,902.18 : x
  2. Step 2: Convert to fraction form
    14,188.32/19,579.86 = 7,902.18/x
  3. Step 3: Cross multiply
    14,188.32x = 19,579.86 × 7,902.18
  4. Step 4: Simplify right side
    14,188.32x = 154,723,578.09
  5. Step 5: Solve for x
    x = 154,723,578.09/14,188.32
  6. Step 6: Final answer
    x = 10,905.00

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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.