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Finding the Fourth Proportional to 23,724.98, 32,740.47 and 12,969.90

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Solution

The fourth proportional to 23,724.98, 32,740.47 and 12,969.90 is: 17,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.98 : 32,740.47 = 12,969.90 : x
  2. Step 2: Convert to fraction form
    23,724.98/32,740.47 = 12,969.90/x
  3. Step 3: Cross multiply
    23,724.98x = 32,740.47 × 12,969.90
  4. Step 4: Simplify right side
    23,724.98x = 424,640,621.85
  5. Step 5: Solve for x
    x = 424,640,621.85/23,724.98
  6. Step 6: Final answer
    x = 17,898.46

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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.