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Finding the Fourth Proportional to 25,509.33, 35,202.42 and 14,178.62

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Solution

The fourth proportional to 25,509.33, 35,202.42 and 14,178.62 is: 19,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.33 : 35,202.42 = 14,178.62 : x
  2. Step 2: Convert to fraction form
    25,509.33/35,202.42 = 14,178.62/x
  3. Step 3: Cross multiply
    25,509.33x = 35,202.42 × 14,178.62
  4. Step 4: Simplify right side
    25,509.33x = 499,121,824.27
  5. Step 5: Solve for x
    x = 499,121,824.27/25,509.33
  6. Step 6: Final answer
    x = 19,566.25

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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.