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Finding the Fourth Proportional to 17,341.04, 25,994.81 and 7,987.50

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Solution

The fourth proportional to 17,341.04, 25,994.81 and 7,987.50 is: 11,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,341.04 : 25,994.81 = 7,987.50 : x
  2. Step 2: Convert to fraction form
    17,341.04/25,994.81 = 7,987.50/x
  3. Step 3: Cross multiply
    17,341.04x = 25,994.81 × 7,987.50
  4. Step 4: Simplify right side
    17,341.04x = 207,633,504.94
  5. Step 5: Solve for x
    x = 207,633,504.94/17,341.04
  6. Step 6: Final answer
    x = 11,973.54

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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.