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Finding the Fourth Proportional to 24,518.50, 36,784.13 and 6,989.69

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Solution

The fourth proportional to 24,518.50, 36,784.13 and 6,989.69 is: 10,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,518.50 : 36,784.13 = 6,989.69 : x
  2. Step 2: Convert to fraction form
    24,518.50/36,784.13 = 6,989.69/x
  3. Step 3: Cross multiply
    24,518.50x = 36,784.13 × 6,989.69
  4. Step 4: Simplify right side
    24,518.50x = 257,109,722.63
  5. Step 5: Solve for x
    x = 257,109,722.63/24,518.50
  6. Step 6: Final answer
    x = 10,486.36

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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.