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Finding the Fourth Proportional to 20,681.40, 31,022.10 and 11,933.40

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Solution

The fourth proportional to 20,681.40, 31,022.10 and 11,933.40 is: 17,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,681.40 : 31,022.10 = 11,933.40 : x
  2. Step 2: Convert to fraction form
    20,681.40/31,022.10 = 11,933.40/x
  3. Step 3: Cross multiply
    20,681.40x = 31,022.10 × 11,933.40
  4. Step 4: Simplify right side
    20,681.40x = 370,199,128.14
  5. Step 5: Solve for x
    x = 370,199,128.14/20,681.40
  6. Step 6: Final answer
    x = 17,900.10

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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.