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Finding the Fourth Proportional to 17,259, 23,817.42 and 10,185.60

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Solution

The fourth proportional to 17,259, 23,817.42 and 10,185.60 is: 14,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259 : 23,817.42 = 10,185.60 : x
  2. Step 2: Convert to fraction form
    17,259/23,817.42 = 10,185.60/x
  3. Step 3: Cross multiply
    17,259x = 23,817.42 × 10,185.60
  4. Step 4: Simplify right side
    17,259x = 242,594,713.15
  5. Step 5: Solve for x
    x = 242,594,713.15/17,259
  6. Step 6: Final answer
    x = 14,056.13

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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.