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Finding the Fourth Proportional to 14,071.37, 19,418.13 and 7,697.99

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Solution

The fourth proportional to 14,071.37, 19,418.13 and 7,697.99 is: 10,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.37 : 19,418.13 = 7,697.99 : x
  2. Step 2: Convert to fraction form
    14,071.37/19,418.13 = 7,697.99/x
  3. Step 3: Cross multiply
    14,071.37x = 19,418.13 × 7,697.99
  4. Step 4: Simplify right side
    14,071.37x = 149,480,619.10
  5. Step 5: Solve for x
    x = 149,480,619.10/14,071.37
  6. Step 6: Final answer
    x = 10,623.04

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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.