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Finding the Fourth Proportional to 31,206.68, 46,818.22 and 11,218.20

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Solution

The fourth proportional to 31,206.68, 46,818.22 and 11,218.20 is: 16,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.68 : 46,818.22 = 11,218.20 : x
  2. Step 2: Convert to fraction form
    31,206.68/46,818.22 = 11,218.20/x
  3. Step 3: Cross multiply
    31,206.68x = 46,818.22 × 11,218.20
  4. Step 4: Simplify right side
    31,206.68x = 525,216,155.60
  5. Step 5: Solve for x
    x = 525,216,155.60/31,206.68
  6. Step 6: Final answer
    x = 16,830.25

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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.