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Finding the Fourth Proportional to 22,714.20, 34,066.14 and 7,128.12

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Solution

The fourth proportional to 22,714.20, 34,066.14 and 7,128.12 is: 10,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.20 : 34,066.14 = 7,128.12 : x
  2. Step 2: Convert to fraction form
    22,714.20/34,066.14 = 7,128.12/x
  3. Step 3: Cross multiply
    22,714.20x = 34,066.14 × 7,128.12
  4. Step 4: Simplify right side
    22,714.20x = 242,827,533.86
  5. Step 5: Solve for x
    x = 242,827,533.86/22,714.20
  6. Step 6: Final answer
    x = 10,690.56

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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.