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Finding the Fourth Proportional to 15,792.27, 21,801.24 and 9,825.86

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Solution

The fourth proportional to 15,792.27, 21,801.24 and 9,825.86 is: 13,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.27 : 21,801.24 = 9,825.86 : x
  2. Step 2: Convert to fraction form
    15,792.27/21,801.24 = 9,825.86/x
  3. Step 3: Cross multiply
    15,792.27x = 21,801.24 × 9,825.86
  4. Step 4: Simplify right side
    15,792.27x = 214,215,823.06
  5. Step 5: Solve for x
    x = 214,215,823.06/15,792.27
  6. Step 6: Final answer
    x = 13,564.60

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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.