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Finding the Fourth Proportional to 15,642.30, 23,405.13 and 15,467.34

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Solution

The fourth proportional to 15,642.30, 23,405.13 and 15,467.34 is: 23,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.30 : 23,405.13 = 15,467.34 : x
  2. Step 2: Convert to fraction form
    15,642.30/23,405.13 = 15,467.34/x
  3. Step 3: Cross multiply
    15,642.30x = 23,405.13 × 15,467.34
  4. Step 4: Simplify right side
    15,642.30x = 362,015,103.45
  5. Step 5: Solve for x
    x = 362,015,103.45/15,642.30
  6. Step 6: Final answer
    x = 23,143.34

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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.