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Finding the Fourth Proportional to 14,977.71, 20,690.24 and 10,807.83

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Solution

The fourth proportional to 14,977.71, 20,690.24 and 10,807.83 is: 14,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.71 : 20,690.24 = 10,807.83 : x
  2. Step 2: Convert to fraction form
    14,977.71/20,690.24 = 10,807.83/x
  3. Step 3: Cross multiply
    14,977.71x = 20,690.24 × 10,807.83
  4. Step 4: Simplify right side
    14,977.71x = 223,616,542.54
  5. Step 5: Solve for x
    x = 223,616,542.54/14,977.71
  6. Step 6: Final answer
    x = 14,929.96

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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.