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Finding the Fourth Proportional to 14,162.09, 19,544.18 and 7,789.17

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Solution

The fourth proportional to 14,162.09, 19,544.18 and 7,789.17 is: 10,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.09 : 19,544.18 = 7,789.17 : x
  2. Step 2: Convert to fraction form
    14,162.09/19,544.18 = 7,789.17/x
  3. Step 3: Cross multiply
    14,162.09x = 19,544.18 × 7,789.17
  4. Step 4: Simplify right side
    14,162.09x = 152,232,875.79
  5. Step 5: Solve for x
    x = 152,232,875.79/14,162.09
  6. Step 6: Final answer
    x = 10,749.32

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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.