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Finding the Fourth Proportional to 25,509.36, 35,202.88 and 14,178.49

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Solution

The fourth proportional to 25,509.36, 35,202.88 and 14,178.49 is: 19,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.36 : 35,202.88 = 14,178.49 : x
  2. Step 2: Convert to fraction form
    25,509.36/35,202.88 = 14,178.49/x
  3. Step 3: Cross multiply
    25,509.36x = 35,202.88 × 14,178.49
  4. Step 4: Simplify right side
    25,509.36x = 499,123,769.91
  5. Step 5: Solve for x
    x = 499,123,769.91/25,509.36
  6. Step 6: Final answer
    x = 19,566.30

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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.