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Finding the Fourth Proportional to 15,226, 22,848.60 and 5,991.76

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Solution

The fourth proportional to 15,226, 22,848.60 and 5,991.76 is: 8,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226 : 22,848.60 = 5,991.76 : x
  2. Step 2: Convert to fraction form
    15,226/22,848.60 = 5,991.76/x
  3. Step 3: Cross multiply
    15,226x = 22,848.60 × 5,991.76
  4. Step 4: Simplify right side
    15,226x = 136,903,327.54
  5. Step 5: Solve for x
    x = 136,903,327.54/15,226
  6. Step 6: Final answer
    x = 8,991.42

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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.