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Finding the Fourth Proportional to 23,618.02, 35,427.63 and 7,823.02

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Solution

The fourth proportional to 23,618.02, 35,427.63 and 7,823.02 is: 11,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618.02 : 35,427.63 = 7,823.02 : x
  2. Step 2: Convert to fraction form
    23,618.02/35,427.63 = 7,823.02/x
  3. Step 3: Cross multiply
    23,618.02x = 35,427.63 × 7,823.02
  4. Step 4: Simplify right side
    23,618.02x = 277,151,058.04
  5. Step 5: Solve for x
    x = 277,151,058.04/23,618.02
  6. Step 6: Final answer
    x = 11,734.73

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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.