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Finding the Fourth Proportional to 14,091.42, 19,446.74 and 7,803.79

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Solution

The fourth proportional to 14,091.42, 19,446.74 and 7,803.79 is: 10,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.42 : 19,446.74 = 7,803.79 : x
  2. Step 2: Convert to fraction form
    14,091.42/19,446.74 = 7,803.79/x
  3. Step 3: Cross multiply
    14,091.42x = 19,446.74 × 7,803.79
  4. Step 4: Simplify right side
    14,091.42x = 151,758,275.14
  5. Step 5: Solve for x
    x = 151,758,275.14/14,091.42
  6. Step 6: Final answer
    x = 10,769.55

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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.