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Finding the Fourth Proportional to 17,119.73, 23,632.50 and 10,407.50

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Solution

The fourth proportional to 17,119.73, 23,632.50 and 10,407.50 is: 14,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,119.73 : 23,632.50 = 10,407.50 : x
  2. Step 2: Convert to fraction form
    17,119.73/23,632.50 = 10,407.50/x
  3. Step 3: Cross multiply
    17,119.73x = 23,632.50 × 10,407.50
  4. Step 4: Simplify right side
    17,119.73x = 245,955,086.56
  5. Step 5: Solve for x
    x = 245,955,086.56/17,119.73
  6. Step 6: Final answer
    x = 14,366.77

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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.