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Finding the Fourth Proportional to 23,157.54, 34,737.84 and 9,116.46

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Solution

The fourth proportional to 23,157.54, 34,737.84 and 9,116.46 is: 13,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.54 : 34,737.84 = 9,116.46 : x
  2. Step 2: Convert to fraction form
    23,157.54/34,737.84 = 9,116.46/x
  3. Step 3: Cross multiply
    23,157.54x = 34,737.84 × 9,116.46
  4. Step 4: Simplify right side
    23,157.54x = 316,686,128.85
  5. Step 5: Solve for x
    x = 316,686,128.85/23,157.54
  6. Step 6: Final answer
    x = 13,675.29

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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.