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Finding the Fourth Proportional to 16,853.52, 25,280.30 and 6,465.52

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Solution

The fourth proportional to 16,853.52, 25,280.30 and 6,465.52 is: 9,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.52 : 25,280.30 = 6,465.52 : x
  2. Step 2: Convert to fraction form
    16,853.52/25,280.30 = 6,465.52/x
  3. Step 3: Cross multiply
    16,853.52x = 25,280.30 × 6,465.52
  4. Step 4: Simplify right side
    16,853.52x = 163,450,285.26
  5. Step 5: Solve for x
    x = 163,450,285.26/16,853.52
  6. Step 6: Final answer
    x = 9,698.29

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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.