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Finding the Fourth Proportional to 11,994.90, 17,984.15 and 5,417.51

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Solution

The fourth proportional to 11,994.90, 17,984.15 and 5,417.51 is: 8,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.90 : 17,984.15 = 5,417.51 : x
  2. Step 2: Convert to fraction form
    11,994.90/17,984.15 = 5,417.51/x
  3. Step 3: Cross multiply
    11,994.90x = 17,984.15 × 5,417.51
  4. Step 4: Simplify right side
    11,994.90x = 97,429,195.46
  5. Step 5: Solve for x
    x = 97,429,195.46/11,994.90
  6. Step 6: Final answer
    x = 8,122.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.