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Finding the Fourth Proportional to 23,820.14, 32,871.02 and 13,210.56

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Solution

The fourth proportional to 23,820.14, 32,871.02 and 13,210.56 is: 18,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.14 : 32,871.02 = 13,210.56 : x
  2. Step 2: Convert to fraction form
    23,820.14/32,871.02 = 13,210.56/x
  3. Step 3: Cross multiply
    23,820.14x = 32,871.02 × 13,210.56
  4. Step 4: Simplify right side
    23,820.14x = 434,244,515.92
  5. Step 5: Solve for x
    x = 434,244,515.92/23,820.14
  6. Step 6: Final answer
    x = 18,230.14

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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.