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Finding the Fourth Proportional to 16,880.72, 23,296.68 and 9,712.84

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Solution

The fourth proportional to 16,880.72, 23,296.68 and 9,712.84 is: 13,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.72 : 23,296.68 = 9,712.84 : x
  2. Step 2: Convert to fraction form
    16,880.72/23,296.68 = 9,712.84/x
  3. Step 3: Cross multiply
    16,880.72x = 23,296.68 × 9,712.84
  4. Step 4: Simplify right side
    16,880.72x = 226,276,925.37
  5. Step 5: Solve for x
    x = 226,276,925.37/16,880.72
  6. Step 6: Final answer
    x = 13,404.46

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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.