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Finding the Fourth Proportional to 26,023, 35,911.74 and 14,845

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Solution

The fourth proportional to 26,023, 35,911.74 and 14,845 is: 20,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,023 : 35,911.74 = 14,845 : x
  2. Step 2: Convert to fraction form
    26,023/35,911.74 = 14,845/x
  3. Step 3: Cross multiply
    26,023x = 35,911.74 × 14,845
  4. Step 4: Simplify right side
    26,023x = 533,109,780.30
  5. Step 5: Solve for x
    x = 533,109,780.30/26,023
  6. Step 6: Final answer
    x = 20,486.10

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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.