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Finding the Fourth Proportional to 17,852.31, 24,632.01 and 10,684.53

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Solution

The fourth proportional to 17,852.31, 24,632.01 and 10,684.53 is: 14,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.31 : 24,632.01 = 10,684.53 : x
  2. Step 2: Convert to fraction form
    17,852.31/24,632.01 = 10,684.53/x
  3. Step 3: Cross multiply
    17,852.31x = 24,632.01 × 10,684.53
  4. Step 4: Simplify right side
    17,852.31x = 263,181,449.81
  5. Step 5: Solve for x
    x = 263,181,449.81/17,852.31
  6. Step 6: Final answer
    x = 14,742.15

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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.