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Finding the Fourth Proportional to 26,416.92, 39,641.22 and 9,774.12

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Solution

The fourth proportional to 26,416.92, 39,641.22 and 9,774.12 is: 14,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.92 : 39,641.22 = 9,774.12 : x
  2. Step 2: Convert to fraction form
    26,416.92/39,641.22 = 9,774.12/x
  3. Step 3: Cross multiply
    26,416.92x = 39,641.22 × 9,774.12
  4. Step 4: Simplify right side
    26,416.92x = 387,458,041.23
  5. Step 5: Solve for x
    x = 387,458,041.23/26,416.92
  6. Step 6: Final answer
    x = 14,667.04

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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.