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Finding the Fourth Proportional to 16,880.82, 23,296.15 and 9,806.88

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Solution

The fourth proportional to 16,880.82, 23,296.15 and 9,806.88 is: 13,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.82 : 23,296.15 = 9,806.88 : x
  2. Step 2: Convert to fraction form
    16,880.82/23,296.15 = 9,806.88/x
  3. Step 3: Cross multiply
    16,880.82x = 23,296.15 × 9,806.88
  4. Step 4: Simplify right side
    16,880.82x = 228,462,547.51
  5. Step 5: Solve for x
    x = 228,462,547.51/16,880.82
  6. Step 6: Final answer
    x = 13,533.85

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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.