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Finding the Fourth Proportional to 15,787.02, 21,789.72 and 9,823.26

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Solution

The fourth proportional to 15,787.02, 21,789.72 and 9,823.26 is: 13,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.02 : 21,789.72 = 9,823.26 : x
  2. Step 2: Convert to fraction form
    15,787.02/21,789.72 = 9,823.26/x
  3. Step 3: Cross multiply
    15,787.02x = 21,789.72 × 9,823.26
  4. Step 4: Simplify right side
    15,787.02x = 214,046,084.89
  5. Step 5: Solve for x
    x = 214,046,084.89/15,787.02
  6. Step 6: Final answer
    x = 13,558.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.