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Finding the Fourth Proportional to 13,354.70, 20,015.64 and 7,499

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Solution

The fourth proportional to 13,354.70, 20,015.64 and 7,499 is: 11,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.70 : 20,015.64 = 7,499 : x
  2. Step 2: Convert to fraction form
    13,354.70/20,015.64 = 7,499/x
  3. Step 3: Cross multiply
    13,354.70x = 20,015.64 × 7,499
  4. Step 4: Simplify right side
    13,354.70x = 150,097,284.36
  5. Step 5: Solve for x
    x = 150,097,284.36/13,354.70
  6. Step 6: Final answer
    x = 11,239.29

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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.