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Finding the Fourth Proportional to 13,820.69, 20,714.64 and 7,965.20

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Solution

The fourth proportional to 13,820.69, 20,714.64 and 7,965.20 is: 11,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.69 : 20,714.64 = 7,965.20 : x
  2. Step 2: Convert to fraction form
    13,820.69/20,714.64 = 7,965.20/x
  3. Step 3: Cross multiply
    13,820.69x = 20,714.64 × 7,965.20
  4. Step 4: Simplify right side
    13,820.69x = 164,996,272.45
  5. Step 5: Solve for x
    x = 164,996,272.45/13,820.69
  6. Step 6: Final answer
    x = 11,938.35

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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.