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Finding the Fourth Proportional to 19,561.77, 29,348.19 and 7,708.23

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Solution

The fourth proportional to 19,561.77, 29,348.19 and 7,708.23 is: 11,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.77 : 29,348.19 = 7,708.23 : x
  2. Step 2: Convert to fraction form
    19,561.77/29,348.19 = 7,708.23/x
  3. Step 3: Cross multiply
    19,561.77x = 29,348.19 × 7,708.23
  4. Step 4: Simplify right side
    19,561.77x = 226,222,598.60
  5. Step 5: Solve for x
    x = 226,222,598.60/19,561.77
  6. Step 6: Final answer
    x = 11,564.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.