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Finding the Fourth Proportional to 21,007.80, 31,500.90 and 7,853.40

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Solution

The fourth proportional to 21,007.80, 31,500.90 and 7,853.40 is: 11,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.80 : 31,500.90 = 7,853.40 : x
  2. Step 2: Convert to fraction form
    21,007.80/31,500.90 = 7,853.40/x
  3. Step 3: Cross multiply
    21,007.80x = 31,500.90 × 7,853.40
  4. Step 4: Simplify right side
    21,007.80x = 247,389,168.06
  5. Step 5: Solve for x
    x = 247,389,168.06/21,007.80
  6. Step 6: Final answer
    x = 11,776.06

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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.