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Finding the Fourth Proportional to 14,095.74, 19,451.91 and 7,722.29

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Solution

The fourth proportional to 14,095.74, 19,451.91 and 7,722.29 is: 10,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.74 : 19,451.91 = 7,722.29 : x
  2. Step 2: Convert to fraction form
    14,095.74/19,451.91 = 7,722.29/x
  3. Step 3: Cross multiply
    14,095.74x = 19,451.91 × 7,722.29
  4. Step 4: Simplify right side
    14,095.74x = 150,213,290.07
  5. Step 5: Solve for x
    x = 150,213,290.07/14,095.74
  6. Step 6: Final answer
    x = 10,656.64

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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.