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Finding the Fourth Proportional to 14,071.54, 19,418.04 and 7,698.46

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Solution

The fourth proportional to 14,071.54, 19,418.04 and 7,698.46 is: 10,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.54 : 19,418.04 = 7,698.46 : x
  2. Step 2: Convert to fraction form
    14,071.54/19,418.04 = 7,698.46/x
  3. Step 3: Cross multiply
    14,071.54x = 19,418.04 × 7,698.46
  4. Step 4: Simplify right side
    14,071.54x = 149,489,004.22
  5. Step 5: Solve for x
    x = 149,489,004.22/14,071.54
  6. Step 6: Final answer
    x = 10,623.50

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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.