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Finding the Fourth Proportional to 16,862.50, 23,270.34 and 9,410.50

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Solution

The fourth proportional to 16,862.50, 23,270.34 and 9,410.50 is: 12,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,862.50 : 23,270.34 = 9,410.50 : x
  2. Step 2: Convert to fraction form
    16,862.50/23,270.34 = 9,410.50/x
  3. Step 3: Cross multiply
    16,862.50x = 23,270.34 × 9,410.50
  4. Step 4: Simplify right side
    16,862.50x = 218,985,534.57
  5. Step 5: Solve for x
    x = 218,985,534.57/16,862.50
  6. Step 6: Final answer
    x = 12,986.54

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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.