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Finding the Fourth Proportional to 17,826.06, 24,712.50 and 16,878

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Solution

The fourth proportional to 17,826.06, 24,712.50 and 16,878 is: 23,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.06 : 24,712.50 = 16,878 : x
  2. Step 2: Convert to fraction form
    17,826.06/24,712.50 = 16,878/x
  3. Step 3: Cross multiply
    17,826.06x = 24,712.50 × 16,878
  4. Step 4: Simplify right side
    17,826.06x = 417,097,575
  5. Step 5: Solve for x
    x = 417,097,575/17,826.06
  6. Step 6: Final answer
    x = 23,398.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.