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Finding the Fourth Proportional to 20,225.95, 30,315.09 and 9,119.63

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Solution

The fourth proportional to 20,225.95, 30,315.09 and 9,119.63 is: 13,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.95 : 30,315.09 = 9,119.63 : x
  2. Step 2: Convert to fraction form
    20,225.95/30,315.09 = 9,119.63/x
  3. Step 3: Cross multiply
    20,225.95x = 30,315.09 × 9,119.63
  4. Step 4: Simplify right side
    20,225.95x = 276,462,404.22
  5. Step 5: Solve for x
    x = 276,462,404.22/20,225.95
  6. Step 6: Final answer
    x = 13,668.70

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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.