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Finding the Fourth Proportional to 13,505.50, 20,258.34 and 4,271.50

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Solution

The fourth proportional to 13,505.50, 20,258.34 and 4,271.50 is: 6,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.50 : 20,258.34 = 4,271.50 : x
  2. Step 2: Convert to fraction form
    13,505.50/20,258.34 = 4,271.50/x
  3. Step 3: Cross multiply
    13,505.50x = 20,258.34 × 4,271.50
  4. Step 4: Simplify right side
    13,505.50x = 86,533,499.31
  5. Step 5: Solve for x
    x = 86,533,499.31/13,505.50
  6. Step 6: Final answer
    x = 6,407.28

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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.