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Finding the Fourth Proportional to 23,871.96, 35,807.72 and 14,514.57

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Solution

The fourth proportional to 23,871.96, 35,807.72 and 14,514.57 is: 21,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.96 : 35,807.72 = 14,514.57 : x
  2. Step 2: Convert to fraction form
    23,871.96/35,807.72 = 14,514.57/x
  3. Step 3: Cross multiply
    23,871.96x = 35,807.72 × 14,514.57
  4. Step 4: Simplify right side
    23,871.96x = 519,733,658.48
  5. Step 5: Solve for x
    x = 519,733,658.48/23,871.96
  6. Step 6: Final answer
    x = 21,771.72

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