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Finding the Fourth Proportional to 14,072.94, 19,420.38 and 7,785.32

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Solution

The fourth proportional to 14,072.94, 19,420.38 and 7,785.32 is: 10,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.94 : 19,420.38 = 7,785.32 : x
  2. Step 2: Convert to fraction form
    14,072.94/19,420.38 = 7,785.32/x
  3. Step 3: Cross multiply
    14,072.94x = 19,420.38 × 7,785.32
  4. Step 4: Simplify right side
    14,072.94x = 151,193,775.72
  5. Step 5: Solve for x
    x = 151,193,775.72/14,072.94
  6. Step 6: Final answer
    x = 10,743.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.