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Finding the Fourth Proportional to 16,854.26, 25,284.63 and 6,465.20

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Solution

The fourth proportional to 16,854.26, 25,284.63 and 6,465.20 is: 9,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.26 : 25,284.63 = 6,465.20 : x
  2. Step 2: Convert to fraction form
    16,854.26/25,284.63 = 6,465.20/x
  3. Step 3: Cross multiply
    16,854.26x = 25,284.63 × 6,465.20
  4. Step 4: Simplify right side
    16,854.26x = 163,470,063.45
  5. Step 5: Solve for x
    x = 163,470,063.45/16,854.26
  6. Step 6: Final answer
    x = 9,699.04

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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.