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Finding the Fourth Proportional to 14,192.52, 19,561.68 and 9,708.54

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Solution

The fourth proportional to 14,192.52, 19,561.68 and 9,708.54 is: 13,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.52 : 19,561.68 = 9,708.54 : x
  2. Step 2: Convert to fraction form
    14,192.52/19,561.68 = 9,708.54/x
  3. Step 3: Cross multiply
    14,192.52x = 19,561.68 × 9,708.54
  4. Step 4: Simplify right side
    14,192.52x = 189,915,352.75
  5. Step 5: Solve for x
    x = 189,915,352.75/14,192.52
  6. Step 6: Final answer
    x = 13,381.37

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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.