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Finding the Fourth Proportional to 15,727.68, 23,599.68 and 6,968.64

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Solution

The fourth proportional to 15,727.68, 23,599.68 and 6,968.64 is: 10,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.68 : 23,599.68 = 6,968.64 : x
  2. Step 2: Convert to fraction form
    15,727.68/23,599.68 = 6,968.64/x
  3. Step 3: Cross multiply
    15,727.68x = 23,599.68 × 6,968.64
  4. Step 4: Simplify right side
    15,727.68x = 164,457,674.04
  5. Step 5: Solve for x
    x = 164,457,674.04/15,727.68
  6. Step 6: Final answer
    x = 10,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.