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Finding the Fourth Proportional to 21,274.58, 31,911.86 and 9,574.13

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Solution

The fourth proportional to 21,274.58, 31,911.86 and 9,574.13 is: 14,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.58 : 31,911.86 = 9,574.13 : x
  2. Step 2: Convert to fraction form
    21,274.58/31,911.86 = 9,574.13/x
  3. Step 3: Cross multiply
    21,274.58x = 31,911.86 × 9,574.13
  4. Step 4: Simplify right side
    21,274.58x = 305,528,248.31
  5. Step 5: Solve for x
    x = 305,528,248.31/21,274.58
  6. Step 6: Final answer
    x = 14,361.19

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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.