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Finding the Fourth Proportional to 24,415.98, 36,602.10 and 8,829.96

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Solution

The fourth proportional to 24,415.98, 36,602.10 and 8,829.96 is: 13,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.98 : 36,602.10 = 8,829.96 : x
  2. Step 2: Convert to fraction form
    24,415.98/36,602.10 = 8,829.96/x
  3. Step 3: Cross multiply
    24,415.98x = 36,602.10 × 8,829.96
  4. Step 4: Simplify right side
    24,415.98x = 323,195,078.92
  5. Step 5: Solve for x
    x = 323,195,078.92/24,415.98
  6. Step 6: Final answer
    x = 13,237.03

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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.