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Finding the Fourth Proportional to 15,507.50, 21,400.25 and 8,433.90

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Solution

The fourth proportional to 15,507.50, 21,400.25 and 8,433.90 is: 11,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.50 : 21,400.25 = 8,433.90 : x
  2. Step 2: Convert to fraction form
    15,507.50/21,400.25 = 8,433.90/x
  3. Step 3: Cross multiply
    15,507.50x = 21,400.25 × 8,433.90
  4. Step 4: Simplify right side
    15,507.50x = 180,487,526.31
  5. Step 5: Solve for x
    x = 180,487,526.31/15,507.50
  6. Step 6: Final answer
    x = 11,638.73

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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.