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Finding the Fourth Proportional to 13,421.40, 20,112.30 and 9,731.40

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Solution

The fourth proportional to 13,421.40, 20,112.30 and 9,731.40 is: 14,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.40 : 20,112.30 = 9,731.40 : x
  2. Step 2: Convert to fraction form
    13,421.40/20,112.30 = 9,731.40/x
  3. Step 3: Cross multiply
    13,421.40x = 20,112.30 × 9,731.40
  4. Step 4: Simplify right side
    13,421.40x = 195,720,836.22
  5. Step 5: Solve for x
    x = 195,720,836.22/13,421.40
  6. Step 6: Final answer
    x = 14,582.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.