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Finding the Fourth Proportional to 13,315.79, 19,973.69 and 3,454.25

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Solution

The fourth proportional to 13,315.79, 19,973.69 and 3,454.25 is: 5,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.79 : 19,973.69 = 3,454.25 : x
  2. Step 2: Convert to fraction form
    13,315.79/19,973.69 = 3,454.25/x
  3. Step 3: Cross multiply
    13,315.79x = 19,973.69 × 3,454.25
  4. Step 4: Simplify right side
    13,315.79x = 68,994,014.50
  5. Step 5: Solve for x
    x = 68,994,014.50/13,315.79
  6. Step 6: Final answer
    x = 5,181.37

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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.