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Finding the Fourth Proportional to 14,072.75, 19,421.01 and 7,785.13

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Solution

The fourth proportional to 14,072.75, 19,421.01 and 7,785.13 is: 10,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.75 : 19,421.01 = 7,785.13 : x
  2. Step 2: Convert to fraction form
    14,072.75/19,421.01 = 7,785.13/x
  3. Step 3: Cross multiply
    14,072.75x = 19,421.01 × 7,785.13
  4. Step 4: Simplify right side
    14,072.75x = 151,195,087.58
  5. Step 5: Solve for x
    x = 151,195,087.58/14,072.75
  6. Step 6: Final answer
    x = 10,743.82

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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.