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Finding the Fourth Proportional to 14,095.07, 19,451.81 and 7,807.44

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Solution

The fourth proportional to 14,095.07, 19,451.81 and 7,807.44 is: 10,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.07 : 19,451.81 = 7,807.44 : x
  2. Step 2: Convert to fraction form
    14,095.07/19,451.81 = 7,807.44/x
  3. Step 3: Cross multiply
    14,095.07x = 19,451.81 × 7,807.44
  4. Step 4: Simplify right side
    14,095.07x = 151,868,800.43
  5. Step 5: Solve for x
    x = 151,868,800.43/14,095.07
  6. Step 6: Final answer
    x = 10,774.61

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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.