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Finding the Fourth Proportional to 23,789, 35,683.50 and 7,373

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Solution

The fourth proportional to 23,789, 35,683.50 and 7,373 is: 11,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789 : 35,683.50 = 7,373 : x
  2. Step 2: Convert to fraction form
    23,789/35,683.50 = 7,373/x
  3. Step 3: Cross multiply
    23,789x = 35,683.50 × 7,373
  4. Step 4: Simplify right side
    23,789x = 263,094,445.50
  5. Step 5: Solve for x
    x = 263,094,445.50/23,789
  6. Step 6: Final answer
    x = 11,059.50

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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.