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Finding the Fourth Proportional to 25,997.56, 35,878.76 and 14,666.47

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Solution

The fourth proportional to 25,997.56, 35,878.76 and 14,666.47 is: 20,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.56 : 35,878.76 = 14,666.47 : x
  2. Step 2: Convert to fraction form
    25,997.56/35,878.76 = 14,666.47/x
  3. Step 3: Cross multiply
    25,997.56x = 35,878.76 × 14,666.47
  4. Step 4: Simplify right side
    25,997.56x = 526,214,757.18
  5. Step 5: Solve for x
    x = 526,214,757.18/25,997.56
  6. Step 6: Final answer
    x = 20,240.93

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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.