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Finding the Fourth Proportional to 20,653.84, 30,777.48 and 19,407.12

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Solution

The fourth proportional to 20,653.84, 30,777.48 and 19,407.12 is: 28,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.84 : 30,777.48 = 19,407.12 : x
  2. Step 2: Convert to fraction form
    20,653.84/30,777.48 = 19,407.12/x
  3. Step 3: Cross multiply
    20,653.84x = 30,777.48 × 19,407.12
  4. Step 4: Simplify right side
    20,653.84x = 597,302,247.66
  5. Step 5: Solve for x
    x = 597,302,247.66/20,653.84
  6. Step 6: Final answer
    x = 28,919.67

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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.