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Finding the Fourth Proportional to 31,202.96, 46,763.04 and 13,653.68

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Solution

The fourth proportional to 31,202.96, 46,763.04 and 13,653.68 is: 20,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.96 : 46,763.04 = 13,653.68 : x
  2. Step 2: Convert to fraction form
    31,202.96/46,763.04 = 13,653.68/x
  3. Step 3: Cross multiply
    31,202.96x = 46,763.04 × 13,653.68
  4. Step 4: Simplify right side
    31,202.96x = 638,487,583.99
  5. Step 5: Solve for x
    x = 638,487,583.99/31,202.96
  6. Step 6: Final answer
    x = 20,462.40

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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.