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Finding the Fourth Proportional to 21,003.84, 31,504.95 and 5,208.91

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Solution

The fourth proportional to 21,003.84, 31,504.95 and 5,208.91 is: 7,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.84 : 31,504.95 = 5,208.91 : x
  2. Step 2: Convert to fraction form
    21,003.84/31,504.95 = 5,208.91/x
  3. Step 3: Cross multiply
    21,003.84x = 31,504.95 × 5,208.91
  4. Step 4: Simplify right side
    21,003.84x = 164,106,508.02
  5. Step 5: Solve for x
    x = 164,106,508.02/21,003.84
  6. Step 6: Final answer
    x = 7,813.17

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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.