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Finding the Fourth Proportional to 17,929.41, 24,742.23 and 9,971.45

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Solution

The fourth proportional to 17,929.41, 24,742.23 and 9,971.45 is: 13,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.41 : 24,742.23 = 9,971.45 : x
  2. Step 2: Convert to fraction form
    17,929.41/24,742.23 = 9,971.45/x
  3. Step 3: Cross multiply
    17,929.41x = 24,742.23 × 9,971.45
  4. Step 4: Simplify right side
    17,929.41x = 246,715,785.62
  5. Step 5: Solve for x
    x = 246,715,785.62/17,929.41
  6. Step 6: Final answer
    x = 13,760.40

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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.