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Finding the Fourth Proportional to 23,128.42, 34,698.03 and 7,546

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Solution

The fourth proportional to 23,128.42, 34,698.03 and 7,546 is: 11,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128.42 : 34,698.03 = 7,546 : x
  2. Step 2: Convert to fraction form
    23,128.42/34,698.03 = 7,546/x
  3. Step 3: Cross multiply
    23,128.42x = 34,698.03 × 7,546
  4. Step 4: Simplify right side
    23,128.42x = 261,831,334.38
  5. Step 5: Solve for x
    x = 261,831,334.38/23,128.42
  6. Step 6: Final answer
    x = 11,320.76

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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.