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Finding the Fourth Proportional to 16,643.18, 24,969.10 and 8,322.86

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Solution

The fourth proportional to 16,643.18, 24,969.10 and 8,322.86 is: 12,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.18 : 24,969.10 = 8,322.86 : x
  2. Step 2: Convert to fraction form
    16,643.18/24,969.10 = 8,322.86/x
  3. Step 3: Cross multiply
    16,643.18x = 24,969.10 × 8,322.86
  4. Step 4: Simplify right side
    16,643.18x = 207,814,323.63
  5. Step 5: Solve for x
    x = 207,814,323.63/16,643.18
  6. Step 6: Final answer
    x = 12,486.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.