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Finding the Fourth Proportional to 25,509.54, 35,202.94 and 14,178.75

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Solution

The fourth proportional to 25,509.54, 35,202.94 and 14,178.75 is: 19,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.54 : 35,202.94 = 14,178.75 : x
  2. Step 2: Convert to fraction form
    25,509.54/35,202.94 = 14,178.75/x
  3. Step 3: Cross multiply
    25,509.54x = 35,202.94 × 14,178.75
  4. Step 4: Simplify right side
    25,509.54x = 499,133,650.08
  5. Step 5: Solve for x
    x = 499,133,650.08/25,509.54
  6. Step 6: Final answer
    x = 19,566.55

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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.