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Finding the Fourth Proportional to 24,941.40, 37,415.70 and 8,302.20

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Solution

The fourth proportional to 24,941.40, 37,415.70 and 8,302.20 is: 12,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.40 : 37,415.70 = 8,302.20 : x
  2. Step 2: Convert to fraction form
    24,941.40/37,415.70 = 8,302.20/x
  3. Step 3: Cross multiply
    24,941.40x = 37,415.70 × 8,302.20
  4. Step 4: Simplify right side
    24,941.40x = 310,632,624.54
  5. Step 5: Solve for x
    x = 310,632,624.54/24,941.40
  6. Step 6: Final answer
    x = 12,454.50

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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.