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Finding the Fourth Proportional to 15,706.22, 21,669.17 and 9,735.71

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Solution

The fourth proportional to 15,706.22, 21,669.17 and 9,735.71 is: 13,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.22 : 21,669.17 = 9,735.71 : x
  2. Step 2: Convert to fraction form
    15,706.22/21,669.17 = 9,735.71/x
  3. Step 3: Cross multiply
    15,706.22x = 21,669.17 × 9,735.71
  4. Step 4: Simplify right side
    15,706.22x = 210,964,598.04
  5. Step 5: Solve for x
    x = 210,964,598.04/15,706.22
  6. Step 6: Final answer
    x = 13,431.92

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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.