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Finding the Fourth Proportional to 13,200.19, 19,798.17 and 4,884.19

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Solution

The fourth proportional to 13,200.19, 19,798.17 and 4,884.19 is: 7,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.19 : 19,798.17 = 4,884.19 : x
  2. Step 2: Convert to fraction form
    13,200.19/19,798.17 = 4,884.19/x
  3. Step 3: Cross multiply
    13,200.19x = 19,798.17 × 4,884.19
  4. Step 4: Simplify right side
    13,200.19x = 96,698,023.93
  5. Step 5: Solve for x
    x = 96,698,023.93/13,200.19
  6. Step 6: Final answer
    x = 7,325.50

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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.