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Finding the Fourth Proportional to 17,929.50, 24,742.36 and 9,971.56

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Solution

The fourth proportional to 17,929.50, 24,742.36 and 9,971.56 is: 13,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.50 : 24,742.36 = 9,971.56 : x
  2. Step 2: Convert to fraction form
    17,929.50/24,742.36 = 9,971.56/x
  3. Step 3: Cross multiply
    17,929.50x = 24,742.36 × 9,971.56
  4. Step 4: Simplify right side
    17,929.50x = 246,719,831.50
  5. Step 5: Solve for x
    x = 246,719,831.50/17,929.50
  6. Step 6: Final answer
    x = 13,760.55

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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.