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Finding the Fourth Proportional to 17,724, 24,459.78 and 9,766.02

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Solution

The fourth proportional to 17,724, 24,459.78 and 9,766.02 is: 13,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 24,459.78 = 9,766.02 : x
  2. Step 2: Convert to fraction form
    17,724/24,459.78 = 9,766.02/x
  3. Step 3: Cross multiply
    17,724x = 24,459.78 × 9,766.02
  4. Step 4: Simplify right side
    17,724x = 238,874,700.68
  5. Step 5: Solve for x
    x = 238,874,700.68/17,724
  6. Step 6: Final answer
    x = 13,477.47

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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.