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Finding the Fourth Proportional to 23,812.78, 35,731.32 and 9,783.58

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Solution

The fourth proportional to 23,812.78, 35,731.32 and 9,783.58 is: 14,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.78 : 35,731.32 = 9,783.58 : x
  2. Step 2: Convert to fraction form
    23,812.78/35,731.32 = 9,783.58/x
  3. Step 3: Cross multiply
    23,812.78x = 35,731.32 × 9,783.58
  4. Step 4: Simplify right side
    23,812.78x = 349,580,000.15
  5. Step 5: Solve for x
    x = 349,580,000.15/23,812.78
  6. Step 6: Final answer
    x = 14,680.36

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1.5x scale

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.