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Finding the Fourth Proportional to 17,142, 23,657.40 and 10,852.08

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Solution

The fourth proportional to 17,142, 23,657.40 and 10,852.08 is: 14,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142 : 23,657.40 = 10,852.08 : x
  2. Step 2: Convert to fraction form
    17,142/23,657.40 = 10,852.08/x
  3. Step 3: Cross multiply
    17,142x = 23,657.40 × 10,852.08
  4. Step 4: Simplify right side
    17,142x = 256,731,997.39
  5. Step 5: Solve for x
    x = 256,731,997.39/17,142
  6. Step 6: Final answer
    x = 14,976.78

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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.