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Finding the Fourth Proportional to 23,820, 35,746.38 and 8,237.64

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Solution

The fourth proportional to 23,820, 35,746.38 and 8,237.64 is: 12,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820 : 35,746.38 = 8,237.64 : x
  2. Step 2: Convert to fraction form
    23,820/35,746.38 = 8,237.64/x
  3. Step 3: Cross multiply
    23,820x = 35,746.38 × 8,237.64
  4. Step 4: Simplify right side
    23,820x = 294,465,809.74
  5. Step 5: Solve for x
    x = 294,465,809.74/23,820
  6. Step 6: Final answer
    x = 12,362.12

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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.