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Finding the Fourth Proportional to 14,197.92, 21,296.89 and 7,665.64

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Solution

The fourth proportional to 14,197.92, 21,296.89 and 7,665.64 is: 11,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.92 : 21,296.89 = 7,665.64 : x
  2. Step 2: Convert to fraction form
    14,197.92/21,296.89 = 7,665.64/x
  3. Step 3: Cross multiply
    14,197.92x = 21,296.89 × 7,665.64
  4. Step 4: Simplify right side
    14,197.92x = 163,254,248.20
  5. Step 5: Solve for x
    x = 163,254,248.20/14,197.92
  6. Step 6: Final answer
    x = 11,498.47

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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.