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Finding the Fourth Proportional to 13,430.56, 20,123.56 and 8,225.50

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Solution

The fourth proportional to 13,430.56, 20,123.56 and 8,225.50 is: 12,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.56 : 20,123.56 = 8,225.50 : x
  2. Step 2: Convert to fraction form
    13,430.56/20,123.56 = 8,225.50/x
  3. Step 3: Cross multiply
    13,430.56x = 20,123.56 × 8,225.50
  4. Step 4: Simplify right side
    13,430.56x = 165,526,342.78
  5. Step 5: Solve for x
    x = 165,526,342.78/13,430.56
  6. Step 6: Final answer
    x = 12,324.60

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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.