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Finding the Fourth Proportional to 20,374.56, 30,564 and 7,228.08

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Solution

The fourth proportional to 20,374.56, 30,564 and 7,228.08 is: 10,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374.56 : 30,564 = 7,228.08 : x
  2. Step 2: Convert to fraction form
    20,374.56/30,564 = 7,228.08/x
  3. Step 3: Cross multiply
    20,374.56x = 30,564 × 7,228.08
  4. Step 4: Simplify right side
    20,374.56x = 220,919,037.12
  5. Step 5: Solve for x
    x = 220,919,037.12/20,374.56
  6. Step 6: Final answer
    x = 10,842.89

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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.