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Finding the Fourth Proportional to 21,269.68, 31,904.28 and 9,574.60

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Solution

The fourth proportional to 21,269.68, 31,904.28 and 9,574.60 is: 14,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.68 : 31,904.28 = 9,574.60 : x
  2. Step 2: Convert to fraction form
    21,269.68/31,904.28 = 9,574.60/x
  3. Step 3: Cross multiply
    21,269.68x = 31,904.28 × 9,574.60
  4. Step 4: Simplify right side
    21,269.68x = 305,470,719.29
  5. Step 5: Solve for x
    x = 305,470,719.29/21,269.68
  6. Step 6: Final answer
    x = 14,361.79

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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.