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Finding the Fourth Proportional to 16,643.00, 24,964.72 and 9,294.21

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Solution

The fourth proportional to 16,643.00, 24,964.72 and 9,294.21 is: 13,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.00 : 24,964.72 = 9,294.21 : x
  2. Step 2: Convert to fraction form
    16,643.00/24,964.72 = 9,294.21/x
  3. Step 3: Cross multiply
    16,643.00x = 24,964.72 × 9,294.21
  4. Step 4: Simplify right side
    16,643.00x = 232,027,327.04
  5. Step 5: Solve for x
    x = 232,027,327.04/16,643.00
  6. Step 6: Final answer
    x = 13,941.43

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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.