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Finding the Fourth Proportional to 20,945.46, 31,417.93 and 8,465.28

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Solution

The fourth proportional to 20,945.46, 31,417.93 and 8,465.28 is: 12,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945.46 : 31,417.93 = 8,465.28 : x
  2. Step 2: Convert to fraction form
    20,945.46/31,417.93 = 8,465.28/x
  3. Step 3: Cross multiply
    20,945.46x = 31,417.93 × 8,465.28
  4. Step 4: Simplify right side
    20,945.46x = 265,961,684.71
  5. Step 5: Solve for x
    x = 265,961,684.71/20,945.46
  6. Step 6: Final answer
    x = 12,697.82

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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.