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Finding the Fourth Proportional to 23,657.76, 32,657.04 and 14,224.50

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Solution

The fourth proportional to 23,657.76, 32,657.04 and 14,224.50 is: 19,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.76 : 32,657.04 = 14,224.50 : x
  2. Step 2: Convert to fraction form
    23,657.76/32,657.04 = 14,224.50/x
  3. Step 3: Cross multiply
    23,657.76x = 32,657.04 × 14,224.50
  4. Step 4: Simplify right side
    23,657.76x = 464,530,065.48
  5. Step 5: Solve for x
    x = 464,530,065.48/23,657.76
  6. Step 6: Final answer
    x = 19,635.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.