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Finding the Fourth Proportional to 13,807.08, 19,049.58 and 7,838.64

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Solution

The fourth proportional to 13,807.08, 19,049.58 and 7,838.64 is: 10,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.08 : 19,049.58 = 7,838.64 : x
  2. Step 2: Convert to fraction form
    13,807.08/19,049.58 = 7,838.64/x
  3. Step 3: Cross multiply
    13,807.08x = 19,049.58 × 7,838.64
  4. Step 4: Simplify right side
    13,807.08x = 149,322,799.77
  5. Step 5: Solve for x
    x = 149,322,799.77/13,807.08
  6. Step 6: Final answer
    x = 10,814.94

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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.