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Finding the Fourth Proportional to 23,106.53, 31,817.12 and 19,058.31

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Solution

The fourth proportional to 23,106.53, 31,817.12 and 19,058.31 is: 26,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.53 : 31,817.12 = 19,058.31 : x
  2. Step 2: Convert to fraction form
    23,106.53/31,817.12 = 19,058.31/x
  3. Step 3: Cross multiply
    23,106.53x = 31,817.12 × 19,058.31
  4. Step 4: Simplify right side
    23,106.53x = 606,380,440.98
  5. Step 5: Solve for x
    x = 606,380,440.98/23,106.53
  6. Step 6: Final answer
    x = 26,242.81

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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.