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Finding the Fourth Proportional to 23,891.93, 32,968.04 and 14,199.87

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Solution

The fourth proportional to 23,891.93, 32,968.04 and 14,199.87 is: 19,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.93 : 32,968.04 = 14,199.87 : x
  2. Step 2: Convert to fraction form
    23,891.93/32,968.04 = 14,199.87/x
  3. Step 3: Cross multiply
    23,891.93x = 32,968.04 × 14,199.87
  4. Step 4: Simplify right side
    23,891.93x = 468,141,811.16
  5. Step 5: Solve for x
    x = 468,141,811.16/23,891.93
  6. Step 6: Final answer
    x = 19,594.14

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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.