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Finding the Fourth Proportional to 20,904.09, 31,356.14 and 7,752.93

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Solution

The fourth proportional to 20,904.09, 31,356.14 and 7,752.93 is: 11,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904.09 : 31,356.14 = 7,752.93 : x
  2. Step 2: Convert to fraction form
    20,904.09/31,356.14 = 7,752.93/x
  3. Step 3: Cross multiply
    20,904.09x = 31,356.14 × 7,752.93
  4. Step 4: Simplify right side
    20,904.09x = 243,101,919.73
  5. Step 5: Solve for x
    x = 243,101,919.73/20,904.09
  6. Step 6: Final answer
    x = 11,629.40

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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.