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Finding the Fourth Proportional to 14,825.84, 20,459.07 and 8,111.30

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Solution

The fourth proportional to 14,825.84, 20,459.07 and 8,111.30 is: 11,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.84 : 20,459.07 = 8,111.30 : x
  2. Step 2: Convert to fraction form
    14,825.84/20,459.07 = 8,111.30/x
  3. Step 3: Cross multiply
    14,825.84x = 20,459.07 × 8,111.30
  4. Step 4: Simplify right side
    14,825.84x = 165,949,654.49
  5. Step 5: Solve for x
    x = 165,949,654.49/14,825.84
  6. Step 6: Final answer
    x = 11,193.27

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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.