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Finding the Fourth Proportional to 20,214.64, 30,320.54 and 7,561.98

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Solution

The fourth proportional to 20,214.64, 30,320.54 and 7,561.98 is: 11,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.64 : 30,320.54 = 7,561.98 : x
  2. Step 2: Convert to fraction form
    20,214.64/30,320.54 = 7,561.98/x
  3. Step 3: Cross multiply
    20,214.64x = 30,320.54 × 7,561.98
  4. Step 4: Simplify right side
    20,214.64x = 229,283,317.07
  5. Step 5: Solve for x
    x = 229,283,317.07/20,214.64
  6. Step 6: Final answer
    x = 11,342.44

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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.