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Finding the Fourth Proportional to 21,497.25, 32,245.87 and 14,100

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Solution

The fourth proportional to 21,497.25, 32,245.87 and 14,100 is: 21,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.25 : 32,245.87 = 14,100 : x
  2. Step 2: Convert to fraction form
    21,497.25/32,245.87 = 14,100/x
  3. Step 3: Cross multiply
    21,497.25x = 32,245.87 × 14,100
  4. Step 4: Simplify right side
    21,497.25x = 454,666,767
  5. Step 5: Solve for x
    x = 454,666,767/21,497.25
  6. Step 6: Final answer
    x = 21,150.00

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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.