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Finding the Fourth Proportional to 14,019.46, 19,345.98 and 7,731.97

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Solution

The fourth proportional to 14,019.46, 19,345.98 and 7,731.97 is: 10,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.46 : 19,345.98 = 7,731.97 : x
  2. Step 2: Convert to fraction form
    14,019.46/19,345.98 = 7,731.97/x
  3. Step 3: Cross multiply
    14,019.46x = 19,345.98 × 7,731.97
  4. Step 4: Simplify right side
    14,019.46x = 149,582,536.98
  5. Step 5: Solve for x
    x = 149,582,536.98/14,019.46
  6. Step 6: Final answer
    x = 10,669.64

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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.