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Finding the Fourth Proportional to 35,138.24, 52,713.12 and 14,356.16

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Solution

The fourth proportional to 35,138.24, 52,713.12 and 14,356.16 is: 21,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.24 : 52,713.12 = 14,356.16 : x
  2. Step 2: Convert to fraction form
    35,138.24/52,713.12 = 14,356.16/x
  3. Step 3: Cross multiply
    35,138.24x = 52,713.12 × 14,356.16
  4. Step 4: Simplify right side
    35,138.24x = 756,757,984.82
  5. Step 5: Solve for x
    x = 756,757,984.82/35,138.24
  6. Step 6: Final answer
    x = 21,536.59

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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.