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Finding the Fourth Proportional to 17,678.41, 24,396.51 and 9,720.97

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Solution

The fourth proportional to 17,678.41, 24,396.51 and 9,720.97 is: 13,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.41 : 24,396.51 = 9,720.97 : x
  2. Step 2: Convert to fraction form
    17,678.41/24,396.51 = 9,720.97/x
  3. Step 3: Cross multiply
    17,678.41x = 24,396.51 × 9,720.97
  4. Step 4: Simplify right side
    17,678.41x = 237,157,741.81
  5. Step 5: Solve for x
    x = 237,157,741.81/17,678.41
  6. Step 6: Final answer
    x = 13,415.11

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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.