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Finding the Fourth Proportional to 13,267.60, 19,899.54 and 4,946.54

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Solution

The fourth proportional to 13,267.60, 19,899.54 and 4,946.54 is: 7,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.60 : 19,899.54 = 4,946.54 : x
  2. Step 2: Convert to fraction form
    13,267.60/19,899.54 = 4,946.54/x
  3. Step 3: Cross multiply
    13,267.60x = 19,899.54 × 4,946.54
  4. Step 4: Simplify right side
    13,267.60x = 98,433,771.09
  5. Step 5: Solve for x
    x = 98,433,771.09/13,267.60
  6. Step 6: Final answer
    x = 7,419.11

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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.