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Finding the Fourth Proportional to 35,714.52, 53,574.24 and 14,938

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Solution

The fourth proportional to 35,714.52, 53,574.24 and 14,938 is: 22,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.52 : 53,574.24 = 14,938 : x
  2. Step 2: Convert to fraction form
    35,714.52/53,574.24 = 14,938/x
  3. Step 3: Cross multiply
    35,714.52x = 53,574.24 × 14,938
  4. Step 4: Simplify right side
    35,714.52x = 800,291,997.12
  5. Step 5: Solve for x
    x = 800,291,997.12/35,714.52
  6. Step 6: Final answer
    x = 22,408.03

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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.