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Finding the Fourth Proportional to 14,092.08, 19,446 and 7,804.32

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Solution

The fourth proportional to 14,092.08, 19,446 and 7,804.32 is: 10,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.08 : 19,446 = 7,804.32 : x
  2. Step 2: Convert to fraction form
    14,092.08/19,446 = 7,804.32/x
  3. Step 3: Cross multiply
    14,092.08x = 19,446 × 7,804.32
  4. Step 4: Simplify right side
    14,092.08x = 151,762,806.72
  5. Step 5: Solve for x
    x = 151,762,806.72/14,092.08
  6. Step 6: Final answer
    x = 10,769.37

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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.