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Finding the Fourth Proportional to 24,887.64, 34,345.08 and 13,709.64

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Solution

The fourth proportional to 24,887.64, 34,345.08 and 13,709.64 is: 18,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887.64 : 34,345.08 = 13,709.64 : x
  2. Step 2: Convert to fraction form
    24,887.64/34,345.08 = 13,709.64/x
  3. Step 3: Cross multiply
    24,887.64x = 34,345.08 × 13,709.64
  4. Step 4: Simplify right side
    24,887.64x = 470,858,682.57
  5. Step 5: Solve for x
    x = 470,858,682.57/24,887.64
  6. Step 6: Final answer
    x = 18,919.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.