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Finding the Fourth Proportional to 19,147.12, 26,420.17 and 10,762

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Solution

The fourth proportional to 19,147.12, 26,420.17 and 10,762 is: 14,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147.12 : 26,420.17 = 10,762 : x
  2. Step 2: Convert to fraction form
    19,147.12/26,420.17 = 10,762/x
  3. Step 3: Cross multiply
    19,147.12x = 26,420.17 × 10,762
  4. Step 4: Simplify right side
    19,147.12x = 284,333,869.54
  5. Step 5: Solve for x
    x = 284,333,869.54/19,147.12
  6. Step 6: Final answer
    x = 14,849.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.