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Finding the Fourth Proportional to 23,541, 35,311.42 and 14,782.06

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Solution

The fourth proportional to 23,541, 35,311.42 and 14,782.06 is: 22,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541 : 35,311.42 = 14,782.06 : x
  2. Step 2: Convert to fraction form
    23,541/35,311.42 = 14,782.06/x
  3. Step 3: Cross multiply
    23,541x = 35,311.42 × 14,782.06
  4. Step 4: Simplify right side
    23,541x = 521,975,529.13
  5. Step 5: Solve for x
    x = 521,975,529.13/23,541
  6. Step 6: Final answer
    x = 22,173.04

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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.