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Finding the Fourth Proportional to 20,297.88, 30,403.56 and 9,752.40

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Solution

The fourth proportional to 20,297.88, 30,403.56 and 9,752.40 is: 14,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.88 : 30,403.56 = 9,752.40 : x
  2. Step 2: Convert to fraction form
    20,297.88/30,403.56 = 9,752.40/x
  3. Step 3: Cross multiply
    20,297.88x = 30,403.56 × 9,752.40
  4. Step 4: Simplify right side
    20,297.88x = 296,507,678.54
  5. Step 5: Solve for x
    x = 296,507,678.54/20,297.88
  6. Step 6: Final answer
    x = 14,607.82

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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.