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Finding the Fourth Proportional to 13,415.30, 20,123.20 and 4,650.50

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Solution

The fourth proportional to 13,415.30, 20,123.20 and 4,650.50 is: 6,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.30 : 20,123.20 = 4,650.50 : x
  2. Step 2: Convert to fraction form
    13,415.30/20,123.20 = 4,650.50/x
  3. Step 3: Cross multiply
    13,415.30x = 20,123.20 × 4,650.50
  4. Step 4: Simplify right side
    13,415.30x = 93,582,941.60
  5. Step 5: Solve for x
    x = 93,582,941.60/13,415.30
  6. Step 6: Final answer
    x = 6,975.84

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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.