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Finding the Fourth Proportional to 13,797.59, 20,699.43 and 5,032.47

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Solution

The fourth proportional to 13,797.59, 20,699.43 and 5,032.47 is: 7,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.59 : 20,699.43 = 5,032.47 : x
  2. Step 2: Convert to fraction form
    13,797.59/20,699.43 = 5,032.47/x
  3. Step 3: Cross multiply
    13,797.59x = 20,699.43 × 5,032.47
  4. Step 4: Simplify right side
    13,797.59x = 104,169,260.49
  5. Step 5: Solve for x
    x = 104,169,260.49/13,797.59
  6. Step 6: Final answer
    x = 7,549.82

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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.