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Finding the Fourth Proportional to 11,345.60, 16,924.06 and 11,164.16

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Solution

The fourth proportional to 11,345.60, 16,924.06 and 11,164.16 is: 16,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.60 : 16,924.06 = 11,164.16 : x
  2. Step 2: Convert to fraction form
    11,345.60/16,924.06 = 11,164.16/x
  3. Step 3: Cross multiply
    11,345.60x = 16,924.06 × 11,164.16
  4. Step 4: Simplify right side
    11,345.60x = 188,942,913.69
  5. Step 5: Solve for x
    x = 188,942,913.69/11,345.60
  6. Step 6: Final answer
    x = 16,653.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.