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Finding the Fourth Proportional to 14,357.70, 21,536.42 and 4,997.70

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Solution

The fourth proportional to 14,357.70, 21,536.42 and 4,997.70 is: 7,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.70 : 21,536.42 = 4,997.70 : x
  2. Step 2: Convert to fraction form
    14,357.70/21,536.42 = 4,997.70/x
  3. Step 3: Cross multiply
    14,357.70x = 21,536.42 × 4,997.70
  4. Step 4: Simplify right side
    14,357.70x = 107,632,541.25
  5. Step 5: Solve for x
    x = 107,632,541.25/14,357.70
  6. Step 6: Final answer
    x = 7,496.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.