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Finding the Fourth Proportional to 24,678, 34,056.45 and 13,500

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Solution

The fourth proportional to 24,678, 34,056.45 and 13,500 is: 18,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678 : 34,056.45 = 13,500 : x
  2. Step 2: Convert to fraction form
    24,678/34,056.45 = 13,500/x
  3. Step 3: Cross multiply
    24,678x = 34,056.45 × 13,500
  4. Step 4: Simplify right side
    24,678x = 459,762,075.00
  5. Step 5: Solve for x
    x = 459,762,075.00/24,678
  6. Step 6: Final answer
    x = 18,630.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.