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Finding the Fourth Proportional to 14,652.90, 21,948.37 and 12,336.50

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Solution

The fourth proportional to 14,652.90, 21,948.37 and 12,336.50 is: 18,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.90 : 21,948.37 = 12,336.50 : x
  2. Step 2: Convert to fraction form
    14,652.90/21,948.37 = 12,336.50/x
  3. Step 3: Cross multiply
    14,652.90x = 21,948.37 × 12,336.50
  4. Step 4: Simplify right side
    14,652.90x = 270,766,090.53
  5. Step 5: Solve for x
    x = 270,766,090.53/14,652.90
  6. Step 6: Final answer
    x = 18,478.67

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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.