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Finding the Fourth Proportional to 17,568.96, 24,236.78 and 10,852.17

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Solution

The fourth proportional to 17,568.96, 24,236.78 and 10,852.17 is: 14,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.96 : 24,236.78 = 10,852.17 : x
  2. Step 2: Convert to fraction form
    17,568.96/24,236.78 = 10,852.17/x
  3. Step 3: Cross multiply
    17,568.96x = 24,236.78 × 10,852.17
  4. Step 4: Simplify right side
    17,568.96x = 263,021,656.81
  5. Step 5: Solve for x
    x = 263,021,656.81/17,568.96
  6. Step 6: Final answer
    x = 14,970.82

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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.