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Finding the Fourth Proportional to 14,162.56, 19,544.58 and 7,789.84

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Solution

The fourth proportional to 14,162.56, 19,544.58 and 7,789.84 is: 10,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.56 : 19,544.58 = 7,789.84 : x
  2. Step 2: Convert to fraction form
    14,162.56/19,544.58 = 7,789.84/x
  3. Step 3: Cross multiply
    14,162.56x = 19,544.58 × 7,789.84
  4. Step 4: Simplify right side
    14,162.56x = 152,249,151.07
  5. Step 5: Solve for x
    x = 152,249,151.07/14,162.56
  6. Step 6: Final answer
    x = 10,750.12

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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.