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Finding the Fourth Proportional to 22,537.56, 31,100.67 and 12,465.48

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Solution

The fourth proportional to 22,537.56, 31,100.67 and 12,465.48 is: 17,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.56 : 31,100.67 = 12,465.48 : x
  2. Step 2: Convert to fraction form
    22,537.56/31,100.67 = 12,465.48/x
  3. Step 3: Cross multiply
    22,537.56x = 31,100.67 × 12,465.48
  4. Step 4: Simplify right side
    22,537.56x = 387,684,779.87
  5. Step 5: Solve for x
    x = 387,684,779.87/22,537.56
  6. Step 6: Final answer
    x = 17,201.72

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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.