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Finding the Fourth Proportional to 23,533.50, 32,479.11 and 13,597.50

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Solution

The fourth proportional to 23,533.50, 32,479.11 and 13,597.50 is: 18,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.50 : 32,479.11 = 13,597.50 : x
  2. Step 2: Convert to fraction form
    23,533.50/32,479.11 = 13,597.50/x
  3. Step 3: Cross multiply
    23,533.50x = 32,479.11 × 13,597.50
  4. Step 4: Simplify right side
    23,533.50x = 441,634,698.23
  5. Step 5: Solve for x
    x = 441,634,698.23/23,533.50
  6. Step 6: Final answer
    x = 18,766.21

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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.