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Finding the Fourth Proportional to 27,820.86, 38,371.85 and 19,323

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Solution

The fourth proportional to 27,820.86, 38,371.85 and 19,323 is: 26,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.86 : 38,371.85 = 19,323 : x
  2. Step 2: Convert to fraction form
    27,820.86/38,371.85 = 19,323/x
  3. Step 3: Cross multiply
    27,820.86x = 38,371.85 × 19,323
  4. Step 4: Simplify right side
    27,820.86x = 741,459,160.94
  5. Step 5: Solve for x
    x = 741,459,160.94/27,820.86
  6. Step 6: Final answer
    x = 26,651.19

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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.