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Finding the Fourth Proportional to 19,708.08, 29,573.88 and 7,859.76

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Solution

The fourth proportional to 19,708.08, 29,573.88 and 7,859.76 is: 11,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.08 : 29,573.88 = 7,859.76 : x
  2. Step 2: Convert to fraction form
    19,708.08/29,573.88 = 7,859.76/x
  3. Step 3: Cross multiply
    19,708.08x = 29,573.88 × 7,859.76
  4. Step 4: Simplify right side
    19,708.08x = 232,443,599.07
  5. Step 5: Solve for x
    x = 232,443,599.07/19,708.08
  6. Step 6: Final answer
    x = 11,794.33

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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.