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Finding the Fourth Proportional to 17,140.66, 23,657.94 and 10,424.86

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Solution

The fourth proportional to 17,140.66, 23,657.94 and 10,424.86 is: 14,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.66 : 23,657.94 = 10,424.86 : x
  2. Step 2: Convert to fraction form
    17,140.66/23,657.94 = 10,424.86/x
  3. Step 3: Cross multiply
    17,140.66x = 23,657.94 × 10,424.86
  4. Step 4: Simplify right side
    17,140.66x = 246,630,712.39
  5. Step 5: Solve for x
    x = 246,630,712.39/17,140.66
  6. Step 6: Final answer
    x = 14,388.64

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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.