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Finding the Fourth Proportional to 20,742.30, 31,113.45 and 19,284.30

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Solution

The fourth proportional to 20,742.30, 31,113.45 and 19,284.30 is: 28,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.30 : 31,113.45 = 19,284.30 : x
  2. Step 2: Convert to fraction form
    20,742.30/31,113.45 = 19,284.30/x
  3. Step 3: Cross multiply
    20,742.30x = 31,113.45 × 19,284.30
  4. Step 4: Simplify right side
    20,742.30x = 600,001,103.84
  5. Step 5: Solve for x
    x = 600,001,103.84/20,742.30
  6. Step 6: Final answer
    x = 28,926.45

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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.