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Finding the Fourth Proportional to 15,862.60, 23,783.10 and 7,546.60

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Solution

The fourth proportional to 15,862.60, 23,783.10 and 7,546.60 is: 11,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.60 : 23,783.10 = 7,546.60 : x
  2. Step 2: Convert to fraction form
    15,862.60/23,783.10 = 7,546.60/x
  3. Step 3: Cross multiply
    15,862.60x = 23,783.10 × 7,546.60
  4. Step 4: Simplify right side
    15,862.60x = 179,481,542.46
  5. Step 5: Solve for x
    x = 179,481,542.46/15,862.60
  6. Step 6: Final answer
    x = 11,314.76

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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.