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Finding the Fourth Proportional to 25,756.50, 35,542.20 and 14,424.06

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Solution

The fourth proportional to 25,756.50, 35,542.20 and 14,424.06 is: 19,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.50 : 35,542.20 = 14,424.06 : x
  2. Step 2: Convert to fraction form
    25,756.50/35,542.20 = 14,424.06/x
  3. Step 3: Cross multiply
    25,756.50x = 35,542.20 × 14,424.06
  4. Step 4: Simplify right side
    25,756.50x = 512,662,825.33
  5. Step 5: Solve for x
    x = 512,662,825.33/25,756.50
  6. Step 6: Final answer
    x = 19,904.21

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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.