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Finding the Fourth Proportional to 16,852.52, 25,278.80 and 6,464.52

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Solution

The fourth proportional to 16,852.52, 25,278.80 and 6,464.52 is: 9,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.52 : 25,278.80 = 6,464.52 : x
  2. Step 2: Convert to fraction form
    16,852.52/25,278.80 = 6,464.52/x
  3. Step 3: Cross multiply
    16,852.52x = 25,278.80 × 6,464.52
  4. Step 4: Simplify right side
    16,852.52x = 163,415,308.18
  5. Step 5: Solve for x
    x = 163,415,308.18/16,852.52
  6. Step 6: Final answer
    x = 9,696.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.