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Finding the Fourth Proportional to 17,964.16, 24,813.90 and 13,689.16

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Solution

The fourth proportional to 17,964.16, 24,813.90 and 13,689.16 is: 18,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.16 : 24,813.90 = 13,689.16 : x
  2. Step 2: Convert to fraction form
    17,964.16/24,813.90 = 13,689.16/x
  3. Step 3: Cross multiply
    17,964.16x = 24,813.90 × 13,689.16
  4. Step 4: Simplify right side
    17,964.16x = 339,681,447.32
  5. Step 5: Solve for x
    x = 339,681,447.32/17,964.16
  6. Step 6: Final answer
    x = 18,908.84

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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.