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Finding the Fourth Proportional to 14,205.30, 21,316.05 and 9,825.90

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Solution

The fourth proportional to 14,205.30, 21,316.05 and 9,825.90 is: 14,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.30 : 21,316.05 = 9,825.90 : x
  2. Step 2: Convert to fraction form
    14,205.30/21,316.05 = 9,825.90/x
  3. Step 3: Cross multiply
    14,205.30x = 21,316.05 × 9,825.90
  4. Step 4: Simplify right side
    14,205.30x = 209,449,375.70
  5. Step 5: Solve for x
    x = 209,449,375.70/14,205.30
  6. Step 6: Final answer
    x = 14,744.45

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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.