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Finding the Fourth Proportional to 23,658, 35,487 and 13,270.56

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Solution

The fourth proportional to 23,658, 35,487 and 13,270.56 is: 19,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658 : 35,487 = 13,270.56 : x
  2. Step 2: Convert to fraction form
    23,658/35,487 = 13,270.56/x
  3. Step 3: Cross multiply
    23,658x = 35,487 × 13,270.56
  4. Step 4: Simplify right side
    23,658x = 470,932,362.72
  5. Step 5: Solve for x
    x = 470,932,362.72/23,658
  6. Step 6: Final answer
    x = 19,905.84

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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.