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Finding the Fourth Proportional to 26,334.96, 39,460.92 and 9,672

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Solution

The fourth proportional to 26,334.96, 39,460.92 and 9,672 is: 14,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,334.96 : 39,460.92 = 9,672 : x
  2. Step 2: Convert to fraction form
    26,334.96/39,460.92 = 9,672/x
  3. Step 3: Cross multiply
    26,334.96x = 39,460.92 × 9,672
  4. Step 4: Simplify right side
    26,334.96x = 381,666,018.24
  5. Step 5: Solve for x
    x = 381,666,018.24/26,334.96
  6. Step 6: Final answer
    x = 14,492.75

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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.