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Finding the Fourth Proportional to 14,563.74, 20,097.92 and 8,276.10

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Solution

The fourth proportional to 14,563.74, 20,097.92 and 8,276.10 is: 11,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.74 : 20,097.92 = 8,276.10 : x
  2. Step 2: Convert to fraction form
    14,563.74/20,097.92 = 8,276.10/x
  3. Step 3: Cross multiply
    14,563.74x = 20,097.92 × 8,276.10
  4. Step 4: Simplify right side
    14,563.74x = 166,332,395.71
  5. Step 5: Solve for x
    x = 166,332,395.71/14,563.74
  6. Step 6: Final answer
    x = 11,420.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.