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Finding the Fourth Proportional to 24,467.79, 36,701.15 and 7,827.77

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Solution

The fourth proportional to 24,467.79, 36,701.15 and 7,827.77 is: 11,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.79 : 36,701.15 = 7,827.77 : x
  2. Step 2: Convert to fraction form
    24,467.79/36,701.15 = 7,827.77/x
  3. Step 3: Cross multiply
    24,467.79x = 36,701.15 × 7,827.77
  4. Step 4: Simplify right side
    24,467.79x = 287,288,272.26
  5. Step 5: Solve for x
    x = 287,288,272.26/24,467.79
  6. Step 6: Final answer
    x = 11,741.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.