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Finding the Fourth Proportional to 24,513.63, 36,773.48 and 7,871.77

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Solution

The fourth proportional to 24,513.63, 36,773.48 and 7,871.77 is: 11,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.63 : 36,773.48 = 7,871.77 : x
  2. Step 2: Convert to fraction form
    24,513.63/36,773.48 = 7,871.77/x
  3. Step 3: Cross multiply
    24,513.63x = 36,773.48 × 7,871.77
  4. Step 4: Simplify right side
    24,513.63x = 289,472,376.66
  5. Step 5: Solve for x
    x = 289,472,376.66/24,513.63
  6. Step 6: Final answer
    x = 11,808.63

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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.