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Finding the Fourth Proportional to 15,799.34, 21,807.42 and 9,827.43

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Solution

The fourth proportional to 15,799.34, 21,807.42 and 9,827.43 is: 13,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,799.34 : 21,807.42 = 9,827.43 : x
  2. Step 2: Convert to fraction form
    15,799.34/21,807.42 = 9,827.43/x
  3. Step 3: Cross multiply
    15,799.34x = 21,807.42 × 9,827.43
  4. Step 4: Simplify right side
    15,799.34x = 214,310,893.53
  5. Step 5: Solve for x
    x = 214,310,893.53/15,799.34
  6. Step 6: Final answer
    x = 13,564.55

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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.