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Finding the Fourth Proportional to 17,468.48, 24,106.08 and 10,016

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Solution

The fourth proportional to 17,468.48, 24,106.08 and 10,016 is: 13,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.48 : 24,106.08 = 10,016 : x
  2. Step 2: Convert to fraction form
    17,468.48/24,106.08 = 10,016/x
  3. Step 3: Cross multiply
    17,468.48x = 24,106.08 × 10,016
  4. Step 4: Simplify right side
    17,468.48x = 241,446,497.28
  5. Step 5: Solve for x
    x = 241,446,497.28/17,468.48
  6. Step 6: Final answer
    x = 13,821.84

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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.