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Finding the Fourth Proportional to 24,826.64, 34,249.08 and 14,210.24

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Solution

The fourth proportional to 24,826.64, 34,249.08 and 14,210.24 is: 19,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.64 : 34,249.08 = 14,210.24 : x
  2. Step 2: Convert to fraction form
    24,826.64/34,249.08 = 14,210.24/x
  3. Step 3: Cross multiply
    24,826.64x = 34,249.08 × 14,210.24
  4. Step 4: Simplify right side
    24,826.64x = 486,687,646.58
  5. Step 5: Solve for x
    x = 486,687,646.58/24,826.64
  6. Step 6: Final answer
    x = 19,603.44

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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.