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Finding the Fourth Proportional to 30,718.60, 42,391.22 and 17,288.80

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Solution

The fourth proportional to 30,718.60, 42,391.22 and 17,288.80 is: 23,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718.60 : 42,391.22 = 17,288.80 : x
  2. Step 2: Convert to fraction form
    30,718.60/42,391.22 = 17,288.80/x
  3. Step 3: Cross multiply
    30,718.60x = 42,391.22 × 17,288.80
  4. Step 4: Simplify right side
    30,718.60x = 732,893,131.91
  5. Step 5: Solve for x
    x = 732,893,131.91/30,718.60
  6. Step 6: Final answer
    x = 23,858.29

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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.