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Finding the Fourth Proportional to 13,798.19, 20,693.16 and 4,911.93

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Solution

The fourth proportional to 13,798.19, 20,693.16 and 4,911.93 is: 7,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.19 : 20,693.16 = 4,911.93 : x
  2. Step 2: Convert to fraction form
    13,798.19/20,693.16 = 4,911.93/x
  3. Step 3: Cross multiply
    13,798.19x = 20,693.16 × 4,911.93
  4. Step 4: Simplify right side
    13,798.19x = 101,643,353.40
  5. Step 5: Solve for x
    x = 101,643,353.40/13,798.19
  6. Step 6: Final answer
    x = 7,366.43

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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.