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Finding the Fourth Proportional to 23,863.47, 32,932.34 and 14,300.20

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Solution

The fourth proportional to 23,863.47, 32,932.34 and 14,300.20 is: 19,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.47 : 32,932.34 = 14,300.20 : x
  2. Step 2: Convert to fraction form
    23,863.47/32,932.34 = 14,300.20/x
  3. Step 3: Cross multiply
    23,863.47x = 32,932.34 × 14,300.20
  4. Step 4: Simplify right side
    23,863.47x = 470,939,048.47
  5. Step 5: Solve for x
    x = 470,939,048.47/23,863.47
  6. Step 6: Final answer
    x = 19,734.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.