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Finding the Fourth Proportional to 25,316.34, 37,974.42 and 6,848.34

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Solution

The fourth proportional to 25,316.34, 37,974.42 and 6,848.34 is: 10,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,316.34 : 37,974.42 = 6,848.34 : x
  2. Step 2: Convert to fraction form
    25,316.34/37,974.42 = 6,848.34/x
  3. Step 3: Cross multiply
    25,316.34x = 37,974.42 × 6,848.34
  4. Step 4: Simplify right side
    25,316.34x = 260,061,739.46
  5. Step 5: Solve for x
    x = 260,061,739.46/25,316.34
  6. Step 6: Final answer
    x = 10,272.49

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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.