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Finding the Fourth Proportional to 23,156.19, 34,705.82 and 13,169.31

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Solution

The fourth proportional to 23,156.19, 34,705.82 and 13,169.31 is: 19,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.19 : 34,705.82 = 13,169.31 : x
  2. Step 2: Convert to fraction form
    23,156.19/34,705.82 = 13,169.31/x
  3. Step 3: Cross multiply
    23,156.19x = 34,705.82 × 13,169.31
  4. Step 4: Simplify right side
    23,156.19x = 457,051,636.54
  5. Step 5: Solve for x
    x = 457,051,636.54/23,156.19
  6. Step 6: Final answer
    x = 19,737.77

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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.