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Finding the Fourth Proportional to 23,463, 32,378.54 and 12,852.60

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Solution

The fourth proportional to 23,463, 32,378.54 and 12,852.60 is: 17,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463 : 32,378.54 = 12,852.60 : x
  2. Step 2: Convert to fraction form
    23,463/32,378.54 = 12,852.60/x
  3. Step 3: Cross multiply
    23,463x = 32,378.54 × 12,852.60
  4. Step 4: Simplify right side
    23,463x = 416,148,423.20
  5. Step 5: Solve for x
    x = 416,148,423.20/23,463
  6. Step 6: Final answer
    x = 17,736.37

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1.5x scale

Why These Related Problems?

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