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Finding the Fourth Proportional to 19,354.68, 26,709.12 and 10,971

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Solution

The fourth proportional to 19,354.68, 26,709.12 and 10,971 is: 15,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,354.68 : 26,709.12 = 10,971 : x
  2. Step 2: Convert to fraction form
    19,354.68/26,709.12 = 10,971/x
  3. Step 3: Cross multiply
    19,354.68x = 26,709.12 × 10,971
  4. Step 4: Simplify right side
    19,354.68x = 293,025,755.52
  5. Step 5: Solve for x
    x = 293,025,755.52/19,354.68
  6. Step 6: Final answer
    x = 15,139.79

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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.