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Finding the Fourth Proportional to 23,840.50, 35,752.11 and 10,686.10

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Solution

The fourth proportional to 23,840.50, 35,752.11 and 10,686.10 is: 16,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.50 : 35,752.11 = 10,686.10 : x
  2. Step 2: Convert to fraction form
    23,840.50/35,752.11 = 10,686.10/x
  3. Step 3: Cross multiply
    23,840.50x = 35,752.11 × 10,686.10
  4. Step 4: Simplify right side
    23,840.50x = 382,050,622.67
  5. Step 5: Solve for x
    x = 382,050,622.67/23,840.50
  6. Step 6: Final answer
    x = 16,025.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.