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Finding the Fourth Proportional to 23,830.10, 35,733.56 and 7,187.03

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Solution

The fourth proportional to 23,830.10, 35,733.56 and 7,187.03 is: 10,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.10 : 35,733.56 = 7,187.03 : x
  2. Step 2: Convert to fraction form
    23,830.10/35,733.56 = 7,187.03/x
  3. Step 3: Cross multiply
    23,830.10x = 35,733.56 × 7,187.03
  4. Step 4: Simplify right side
    23,830.10x = 256,818,167.73
  5. Step 5: Solve for x
    x = 256,818,167.73/23,830.10
  6. Step 6: Final answer
    x = 10,777.05

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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.