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Finding the Fourth Proportional to 26,430.75, 39,646.13 and 7,962.75

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Solution

The fourth proportional to 26,430.75, 39,646.13 and 7,962.75 is: 11,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,430.75 : 39,646.13 = 7,962.75 : x
  2. Step 2: Convert to fraction form
    26,430.75/39,646.13 = 7,962.75/x
  3. Step 3: Cross multiply
    26,430.75x = 39,646.13 × 7,962.75
  4. Step 4: Simplify right side
    26,430.75x = 315,692,181.84
  5. Step 5: Solve for x
    x = 315,692,181.84/26,430.75
  6. Step 6: Final answer
    x = 11,944.13

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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.