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Finding the Fourth Proportional to 21,028.25, 31,547.43 and 7,880.73

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Solution

The fourth proportional to 21,028.25, 31,547.43 and 7,880.73 is: 11,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,028.25 : 31,547.43 = 7,880.73 : x
  2. Step 2: Convert to fraction form
    21,028.25/31,547.43 = 7,880.73/x
  3. Step 3: Cross multiply
    21,028.25x = 31,547.43 × 7,880.73
  4. Step 4: Simplify right side
    21,028.25x = 248,616,778.02
  5. Step 5: Solve for x
    x = 248,616,778.02/21,028.25
  6. Step 6: Final answer
    x = 11,822.99

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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.