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Finding the Fourth Proportional to 23,502.87, 35,210.16 and 11,642.85

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Solution

The fourth proportional to 23,502.87, 35,210.16 and 11,642.85 is: 17,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.87 : 35,210.16 = 11,642.85 : x
  2. Step 2: Convert to fraction form
    23,502.87/35,210.16 = 11,642.85/x
  3. Step 3: Cross multiply
    23,502.87x = 35,210.16 × 11,642.85
  4. Step 4: Simplify right side
    23,502.87x = 409,946,611.36
  5. Step 5: Solve for x
    x = 409,946,611.36/23,502.87
  6. Step 6: Final answer
    x = 17,442.41

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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.