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Finding the Fourth Proportional to 25,693.12, 38,541 and 7,226.56

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Solution

The fourth proportional to 25,693.12, 38,541 and 7,226.56 is: 10,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.12 : 38,541 = 7,226.56 : x
  2. Step 2: Convert to fraction form
    25,693.12/38,541 = 7,226.56/x
  3. Step 3: Cross multiply
    25,693.12x = 38,541 × 7,226.56
  4. Step 4: Simplify right side
    25,693.12x = 278,518,848.96
  5. Step 5: Solve for x
    x = 278,518,848.96/25,693.12
  6. Step 6: Final answer
    x = 10,840.21

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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.