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Finding the Fourth Proportional to 17,678.42, 24,396.30 and 9,721.16

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Solution

The fourth proportional to 17,678.42, 24,396.30 and 9,721.16 is: 13,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.42 : 24,396.30 = 9,721.16 : x
  2. Step 2: Convert to fraction form
    17,678.42/24,396.30 = 9,721.16/x
  3. Step 3: Cross multiply
    17,678.42x = 24,396.30 × 9,721.16
  4. Step 4: Simplify right side
    17,678.42x = 237,160,335.71
  5. Step 5: Solve for x
    x = 237,160,335.71/17,678.42
  6. Step 6: Final answer
    x = 13,415.25

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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.