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Finding the Fourth Proportional to 17,714.69, 24,442.69 and 13,464.62

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Solution

The fourth proportional to 17,714.69, 24,442.69 and 13,464.62 is: 18,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.69 : 24,442.69 = 13,464.62 : x
  2. Step 2: Convert to fraction form
    17,714.69/24,442.69 = 13,464.62/x
  3. Step 3: Cross multiply
    17,714.69x = 24,442.69 × 13,464.62
  4. Step 4: Simplify right side
    17,714.69x = 329,111,532.63
  5. Step 5: Solve for x
    x = 329,111,532.63/17,714.69
  6. Step 6: Final answer
    x = 18,578.45

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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.