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Finding the Fourth Proportional to 12,097.43, 16,697.93 and 7,317.38

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Solution

The fourth proportional to 12,097.43, 16,697.93 and 7,317.38 is: 10,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.43 : 16,697.93 = 7,317.38 : x
  2. Step 2: Convert to fraction form
    12,097.43/16,697.93 = 7,317.38/x
  3. Step 3: Cross multiply
    12,097.43x = 16,697.93 × 7,317.38
  4. Step 4: Simplify right side
    12,097.43x = 122,184,978.95
  5. Step 5: Solve for x
    x = 122,184,978.95/12,097.43
  6. Step 6: Final answer
    x = 10,100.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.