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Finding the Fourth Proportional to 24,662.52, 36,994.08 and 7,132.50

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Solution

The fourth proportional to 24,662.52, 36,994.08 and 7,132.50 is: 10,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,662.52 : 36,994.08 = 7,132.50 : x
  2. Step 2: Convert to fraction form
    24,662.52/36,994.08 = 7,132.50/x
  3. Step 3: Cross multiply
    24,662.52x = 36,994.08 × 7,132.50
  4. Step 4: Simplify right side
    24,662.52x = 263,860,275.60
  5. Step 5: Solve for x
    x = 263,860,275.60/24,662.52
  6. Step 6: Final answer
    x = 10,698.84

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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.