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Finding the Fourth Proportional to 13,820.60, 20,731.98 and 6,804.38

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Solution

The fourth proportional to 13,820.60, 20,731.98 and 6,804.38 is: 10,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.60 : 20,731.98 = 6,804.38 : x
  2. Step 2: Convert to fraction form
    13,820.60/20,731.98 = 6,804.38/x
  3. Step 3: Cross multiply
    13,820.60x = 20,731.98 × 6,804.38
  4. Step 4: Simplify right side
    13,820.60x = 141,068,270.07
  5. Step 5: Solve for x
    x = 141,068,270.07/13,820.60
  6. Step 6: Final answer
    x = 10,207.10

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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.