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Finding the Fourth Proportional to 14,071.22, 19,418.74 and 7,783.59

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Solution

The fourth proportional to 14,071.22, 19,418.74 and 7,783.59 is: 10,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.22 : 19,418.74 = 7,783.59 : x
  2. Step 2: Convert to fraction form
    14,071.22/19,418.74 = 7,783.59/x
  3. Step 3: Cross multiply
    14,071.22x = 19,418.74 × 7,783.59
  4. Step 4: Simplify right side
    14,071.22x = 151,147,563.84
  5. Step 5: Solve for x
    x = 151,147,563.84/14,071.22
  6. Step 6: Final answer
    x = 10,741.61

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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.