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Finding the Fourth Proportional to 25,477.50, 35,161.05 and 14,147.70

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Solution

The fourth proportional to 25,477.50, 35,161.05 and 14,147.70 is: 19,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.50 : 35,161.05 = 14,147.70 : x
  2. Step 2: Convert to fraction form
    25,477.50/35,161.05 = 14,147.70/x
  3. Step 3: Cross multiply
    25,477.50x = 35,161.05 × 14,147.70
  4. Step 4: Simplify right side
    25,477.50x = 497,447,987.09
  5. Step 5: Solve for x
    x = 497,447,987.09/25,477.50
  6. Step 6: Final answer
    x = 19,524.99

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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.