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Finding the Fourth Proportional to 24,443.50, 36,667.22 and 7,805.90

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Solution

The fourth proportional to 24,443.50, 36,667.22 and 7,805.90 is: 11,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.50 : 36,667.22 = 7,805.90 : x
  2. Step 2: Convert to fraction form
    24,443.50/36,667.22 = 7,805.90/x
  3. Step 3: Cross multiply
    24,443.50x = 36,667.22 × 7,805.90
  4. Step 4: Simplify right side
    24,443.50x = 286,220,430.23
  5. Step 5: Solve for x
    x = 286,220,430.23/24,443.50
  6. Step 6: Final answer
    x = 11,709.47

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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.