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Finding the Fourth Proportional to 17,235.14, 23,783.68 and 10,065.42

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Solution

The fourth proportional to 17,235.14, 23,783.68 and 10,065.42 is: 13,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.14 : 23,783.68 = 10,065.42 : x
  2. Step 2: Convert to fraction form
    17,235.14/23,783.68 = 10,065.42/x
  3. Step 3: Cross multiply
    17,235.14x = 23,783.68 × 10,065.42
  4. Step 4: Simplify right side
    17,235.14x = 239,392,728.35
  5. Step 5: Solve for x
    x = 239,392,728.35/17,235.14
  6. Step 6: Final answer
    x = 13,889.80

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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.