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Finding the Fourth Proportional to 15,442.50, 23,194.74 and 9,214.67

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Solution

The fourth proportional to 15,442.50, 23,194.74 and 9,214.67 is: 13,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.50 : 23,194.74 = 9,214.67 : x
  2. Step 2: Convert to fraction form
    15,442.50/23,194.74 = 9,214.67/x
  3. Step 3: Cross multiply
    15,442.50x = 23,194.74 × 9,214.67
  4. Step 4: Simplify right side
    15,442.50x = 213,731,758.86
  5. Step 5: Solve for x
    x = 213,731,758.86/15,442.50
  6. Step 6: Final answer
    x = 13,840.49

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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.