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Finding the Fourth Proportional to 21,217.68, 31,804.36 and 7,172.84

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Solution

The fourth proportional to 21,217.68, 31,804.36 and 7,172.84 is: 10,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.68 : 31,804.36 = 7,172.84 : x
  2. Step 2: Convert to fraction form
    21,217.68/31,804.36 = 7,172.84/x
  3. Step 3: Cross multiply
    21,217.68x = 31,804.36 × 7,172.84
  4. Step 4: Simplify right side
    21,217.68x = 228,127,585.58
  5. Step 5: Solve for x
    x = 228,127,585.58/21,217.68
  6. Step 6: Final answer
    x = 10,751.77

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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.