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Finding the Fourth Proportional to 19,810.34, 29,717.07 and 5,770.59

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Solution

The fourth proportional to 19,810.34, 29,717.07 and 5,770.59 is: 8,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.34 : 29,717.07 = 5,770.59 : x
  2. Step 2: Convert to fraction form
    19,810.34/29,717.07 = 5,770.59/x
  3. Step 3: Cross multiply
    19,810.34x = 29,717.07 × 5,770.59
  4. Step 4: Simplify right side
    19,810.34x = 171,485,026.97
  5. Step 5: Solve for x
    x = 171,485,026.97/19,810.34
  6. Step 6: Final answer
    x = 8,656.34

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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.