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Finding the Fourth Proportional to 14,119.92, 19,486.20 and 7,832.16

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Solution

The fourth proportional to 14,119.92, 19,486.20 and 7,832.16 is: 10,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.92 : 19,486.20 = 7,832.16 : x
  2. Step 2: Convert to fraction form
    14,119.92/19,486.20 = 7,832.16/x
  3. Step 3: Cross multiply
    14,119.92x = 19,486.20 × 7,832.16
  4. Step 4: Simplify right side
    14,119.92x = 152,619,036.19
  5. Step 5: Solve for x
    x = 152,619,036.19/14,119.92
  6. Step 6: Final answer
    x = 10,808.77

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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.