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Finding the Fourth Proportional to 20,536.14, 30,658.34 and 19,807.14

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Solution

The fourth proportional to 20,536.14, 30,658.34 and 19,807.14 is: 29,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.14 : 30,658.34 = 19,807.14 : x
  2. Step 2: Convert to fraction form
    20,536.14/30,658.34 = 19,807.14/x
  3. Step 3: Cross multiply
    20,536.14x = 30,658.34 × 19,807.14
  4. Step 4: Simplify right side
    20,536.14x = 607,253,933.51
  5. Step 5: Solve for x
    x = 607,253,933.51/20,536.14
  6. Step 6: Final answer
    x = 29,570.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.