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Finding the Fourth Proportional to 19,138.16, 28,707.26 and 10,428.44

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Solution

The fourth proportional to 19,138.16, 28,707.26 and 10,428.44 is: 15,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.16 : 28,707.26 = 10,428.44 : x
  2. Step 2: Convert to fraction form
    19,138.16/28,707.26 = 10,428.44/x
  3. Step 3: Cross multiply
    19,138.16x = 28,707.26 × 10,428.44
  4. Step 4: Simplify right side
    19,138.16x = 299,371,742.80
  5. Step 5: Solve for x
    x = 299,371,742.80/19,138.16
  6. Step 6: Final answer
    x = 15,642.66

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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.