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Finding the Fourth Proportional to 31,228.66, 46,801.40 and 11,488.96

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Solution

The fourth proportional to 31,228.66, 46,801.40 and 11,488.96 is: 17,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.66 : 46,801.40 = 11,488.96 : x
  2. Step 2: Convert to fraction form
    31,228.66/46,801.40 = 11,488.96/x
  3. Step 3: Cross multiply
    31,228.66x = 46,801.40 × 11,488.96
  4. Step 4: Simplify right side
    31,228.66x = 537,699,412.54
  5. Step 5: Solve for x
    x = 537,699,412.54/31,228.66
  6. Step 6: Final answer
    x = 17,218.14

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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.