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Finding the Fourth Proportional to 14,265.50, 21,406.90 and 6,057.50

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Solution

The fourth proportional to 14,265.50, 21,406.90 and 6,057.50 is: 9,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.50 : 21,406.90 = 6,057.50 : x
  2. Step 2: Convert to fraction form
    14,265.50/21,406.90 = 6,057.50/x
  3. Step 3: Cross multiply
    14,265.50x = 21,406.90 × 6,057.50
  4. Step 4: Simplify right side
    14,265.50x = 129,672,296.75
  5. Step 5: Solve for x
    x = 129,672,296.75/14,265.50
  6. Step 6: Final answer
    x = 9,089.92

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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.