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Finding the Fourth Proportional to 16,853.88, 25,277.94 and 4,539

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Solution

The fourth proportional to 16,853.88, 25,277.94 and 4,539 is: 6,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.88 : 25,277.94 = 4,539 : x
  2. Step 2: Convert to fraction form
    16,853.88/25,277.94 = 4,539/x
  3. Step 3: Cross multiply
    16,853.88x = 25,277.94 × 4,539
  4. Step 4: Simplify right side
    16,853.88x = 114,736,569.66
  5. Step 5: Solve for x
    x = 114,736,569.66/16,853.88
  6. Step 6: Final answer
    x = 6,807.72

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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.