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Finding the Fourth Proportional to 20,873.55, 31,322.61 and 7,735.08

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Solution

The fourth proportional to 20,873.55, 31,322.61 and 7,735.08 is: 11,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.55 : 31,322.61 = 7,735.08 : x
  2. Step 2: Convert to fraction form
    20,873.55/31,322.61 = 7,735.08/x
  3. Step 3: Cross multiply
    20,873.55x = 31,322.61 × 7,735.08
  4. Step 4: Simplify right side
    20,873.55x = 242,282,894.16
  5. Step 5: Solve for x
    x = 242,282,894.16/20,873.55
  6. Step 6: Final answer
    x = 11,607.17

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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.