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Finding the Fourth Proportional to 24,422.40, 36,611.40 and 8,829

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Solution

The fourth proportional to 24,422.40, 36,611.40 and 8,829 is: 13,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.40 : 36,611.40 = 8,829 : x
  2. Step 2: Convert to fraction form
    24,422.40/36,611.40 = 8,829/x
  3. Step 3: Cross multiply
    24,422.40x = 36,611.40 × 8,829
  4. Step 4: Simplify right side
    24,422.40x = 323,242,050.60
  5. Step 5: Solve for x
    x = 323,242,050.60/24,422.40
  6. Step 6: Final answer
    x = 13,235.47

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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.