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Finding the Fourth Proportional to 22,870.98, 31,568.04 and 13,445.82

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Solution

The fourth proportional to 22,870.98, 31,568.04 and 13,445.82 is: 18,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.98 : 31,568.04 = 13,445.82 : x
  2. Step 2: Convert to fraction form
    22,870.98/31,568.04 = 13,445.82/x
  3. Step 3: Cross multiply
    22,870.98x = 31,568.04 × 13,445.82
  4. Step 4: Simplify right side
    22,870.98x = 424,458,183.59
  5. Step 5: Solve for x
    x = 424,458,183.59/22,870.98
  6. Step 6: Final answer
    x = 18,558.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.