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Finding the Fourth Proportional to 15,792.84, 21,790.62 and 9,507.24

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Solution

The fourth proportional to 15,792.84, 21,790.62 and 9,507.24 is: 13,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.84 : 21,790.62 = 9,507.24 : x
  2. Step 2: Convert to fraction form
    15,792.84/21,790.62 = 9,507.24/x
  3. Step 3: Cross multiply
    15,792.84x = 21,790.62 × 9,507.24
  4. Step 4: Simplify right side
    15,792.84x = 207,168,654.09
  5. Step 5: Solve for x
    x = 207,168,654.09/15,792.84
  6. Step 6: Final answer
    x = 13,117.88

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Why These Related Problems?

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