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Finding the Fourth Proportional to 23,891.95, 32,968.01 and 13,135.05

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Solution

The fourth proportional to 23,891.95, 32,968.01 and 13,135.05 is: 18,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.95 : 32,968.01 = 13,135.05 : x
  2. Step 2: Convert to fraction form
    23,891.95/32,968.01 = 13,135.05/x
  3. Step 3: Cross multiply
    23,891.95x = 32,968.01 × 13,135.05
  4. Step 4: Simplify right side
    23,891.95x = 433,036,459.75
  5. Step 5: Solve for x
    x = 433,036,459.75/23,891.95
  6. Step 6: Final answer
    x = 18,124.79

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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.