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Finding the Fourth Proportional to 25,405.72, 35,058.49 and 14,074.31

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Solution

The fourth proportional to 25,405.72, 35,058.49 and 14,074.31 is: 19,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,405.72 : 35,058.49 = 14,074.31 : x
  2. Step 2: Convert to fraction form
    25,405.72/35,058.49 = 14,074.31/x
  3. Step 3: Cross multiply
    25,405.72x = 35,058.49 × 14,074.31
  4. Step 4: Simplify right side
    25,405.72x = 493,424,108.85
  5. Step 5: Solve for x
    x = 493,424,108.85/25,405.72
  6. Step 6: Final answer
    x = 19,421.77

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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.