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Finding the Fourth Proportional to 14,230.69, 19,636.94 and 7,856.87

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Solution

The fourth proportional to 14,230.69, 19,636.94 and 7,856.87 is: 10,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.69 : 19,636.94 = 7,856.87 : x
  2. Step 2: Convert to fraction form
    14,230.69/19,636.94 = 7,856.87/x
  3. Step 3: Cross multiply
    14,230.69x = 19,636.94 × 7,856.87
  4. Step 4: Simplify right side
    14,230.69x = 154,284,884.78
  5. Step 5: Solve for x
    x = 154,284,884.78/14,230.69
  6. Step 6: Final answer
    x = 10,841.70

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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.