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Finding the Fourth Proportional to 14,291.22, 19,723.95 and 8,004

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Solution

The fourth proportional to 14,291.22, 19,723.95 and 8,004 is: 11,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.22 : 19,723.95 = 8,004 : x
  2. Step 2: Convert to fraction form
    14,291.22/19,723.95 = 8,004/x
  3. Step 3: Cross multiply
    14,291.22x = 19,723.95 × 8,004
  4. Step 4: Simplify right side
    14,291.22x = 157,870,495.80
  5. Step 5: Solve for x
    x = 157,870,495.80/14,291.22
  6. Step 6: Final answer
    x = 11,046.68

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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.