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Finding the Fourth Proportional to 16,061.70, 24,078.69 and 7,730.25

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Solution

The fourth proportional to 16,061.70, 24,078.69 and 7,730.25 is: 11,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,061.70 : 24,078.69 = 7,730.25 : x
  2. Step 2: Convert to fraction form
    16,061.70/24,078.69 = 7,730.25/x
  3. Step 3: Cross multiply
    16,061.70x = 24,078.69 × 7,730.25
  4. Step 4: Simplify right side
    16,061.70x = 186,134,338.52
  5. Step 5: Solve for x
    x = 186,134,338.52/16,061.70
  6. Step 6: Final answer
    x = 11,588.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.