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Finding the Fourth Proportional to 23,803.67, 32,848.74 and 13,193.08

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Solution

The fourth proportional to 23,803.67, 32,848.74 and 13,193.08 is: 18,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.67 : 32,848.74 = 13,193.08 : x
  2. Step 2: Convert to fraction form
    23,803.67/32,848.74 = 13,193.08/x
  3. Step 3: Cross multiply
    23,803.67x = 32,848.74 × 13,193.08
  4. Step 4: Simplify right side
    23,803.67x = 433,375,972.60
  5. Step 5: Solve for x
    x = 433,375,972.60/23,803.67
  6. Step 6: Final answer
    x = 18,206.27

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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.