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Finding the Fourth Proportional to 25,848.96, 38,773.44 and 7,129.14

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Solution

The fourth proportional to 25,848.96, 38,773.44 and 7,129.14 is: 10,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,848.96 : 38,773.44 = 7,129.14 : x
  2. Step 2: Convert to fraction form
    25,848.96/38,773.44 = 7,129.14/x
  3. Step 3: Cross multiply
    25,848.96x = 38,773.44 × 7,129.14
  4. Step 4: Simplify right side
    25,848.96x = 276,421,282.04
  5. Step 5: Solve for x
    x = 276,421,282.04/25,848.96
  6. Step 6: Final answer
    x = 10,693.71

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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.