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Finding the Fourth Proportional to 25,138.01, 34,682.65 and 14,523.77

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Solution

The fourth proportional to 25,138.01, 34,682.65 and 14,523.77 is: 20,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.01 : 34,682.65 = 14,523.77 : x
  2. Step 2: Convert to fraction form
    25,138.01/34,682.65 = 14,523.77/x
  3. Step 3: Cross multiply
    25,138.01x = 34,682.65 × 14,523.77
  4. Step 4: Simplify right side
    25,138.01x = 503,722,881.99
  5. Step 5: Solve for x
    x = 503,722,881.99/25,138.01
  6. Step 6: Final answer
    x = 20,038.29

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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.