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Finding the Fourth Proportional to 12,742.94, 19,117.14 and 4,423.22

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Solution

The fourth proportional to 12,742.94, 19,117.14 and 4,423.22 is: 6,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.94 : 19,117.14 = 4,423.22 : x
  2. Step 2: Convert to fraction form
    12,742.94/19,117.14 = 4,423.22/x
  3. Step 3: Cross multiply
    12,742.94x = 19,117.14 × 4,423.22
  4. Step 4: Simplify right side
    12,742.94x = 84,559,315.99
  5. Step 5: Solve for x
    x = 84,559,315.99/12,742.94
  6. Step 6: Final answer
    x = 6,635.78

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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.