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Finding the Fourth Proportional to 20,785.76, 31,159.76 and 8,303.12

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Solution

The fourth proportional to 20,785.76, 31,159.76 and 8,303.12 is: 12,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.76 : 31,159.76 = 8,303.12 : x
  2. Step 2: Convert to fraction form
    20,785.76/31,159.76 = 8,303.12/x
  3. Step 3: Cross multiply
    20,785.76x = 31,159.76 × 8,303.12
  4. Step 4: Simplify right side
    20,785.76x = 258,723,226.45
  5. Step 5: Solve for x
    x = 258,723,226.45/20,785.76
  6. Step 6: Final answer
    x = 12,447.14

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1.5x scale

Why These Related Problems?

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