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Finding the Fourth Proportional to 18,084, 24,967.56 and 12,416.92

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Solution

The fourth proportional to 18,084, 24,967.56 and 12,416.92 is: 17,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084 : 24,967.56 = 12,416.92 : x
  2. Step 2: Convert to fraction form
    18,084/24,967.56 = 12,416.92/x
  3. Step 3: Cross multiply
    18,084x = 24,967.56 × 12,416.92
  4. Step 4: Simplify right side
    18,084x = 310,020,195.12
  5. Step 5: Solve for x
    x = 310,020,195.12/18,084
  6. Step 6: Final answer
    x = 17,143.34

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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.