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Finding the Fourth Proportional to 26,005.24, 35,877.90 and 23,491

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Solution

The fourth proportional to 26,005.24, 35,877.90 and 23,491 is: 32,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.24 : 35,877.90 = 23,491 : x
  2. Step 2: Convert to fraction form
    26,005.24/35,877.90 = 23,491/x
  3. Step 3: Cross multiply
    26,005.24x = 35,877.90 × 23,491
  4. Step 4: Simplify right side
    26,005.24x = 842,807,748.90
  5. Step 5: Solve for x
    x = 842,807,748.90/26,005.24
  6. Step 6: Final answer
    x = 32,409.15

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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.