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Finding the Fourth Proportional to 25,996.52, 35,875.16 and 14,666

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Solution

The fourth proportional to 25,996.52, 35,875.16 and 14,666 is: 20,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996.52 : 35,875.16 = 14,666 : x
  2. Step 2: Convert to fraction form
    25,996.52/35,875.16 = 14,666/x
  3. Step 3: Cross multiply
    25,996.52x = 35,875.16 × 14,666
  4. Step 4: Simplify right side
    25,996.52x = 526,145,096.56
  5. Step 5: Solve for x
    x = 526,145,096.56/25,996.52
  6. Step 6: Final answer
    x = 20,239.06

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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.