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Finding the Fourth Proportional to 12,860.49, 19,274.83 and 7,590.16

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Solution

The fourth proportional to 12,860.49, 19,274.83 and 7,590.16 is: 11,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.49 : 19,274.83 = 7,590.16 : x
  2. Step 2: Convert to fraction form
    12,860.49/19,274.83 = 7,590.16/x
  3. Step 3: Cross multiply
    12,860.49x = 19,274.83 × 7,590.16
  4. Step 4: Simplify right side
    12,860.49x = 146,299,043.67
  5. Step 5: Solve for x
    x = 146,299,043.67/12,860.49
  6. Step 6: Final answer
    x = 11,375.85

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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.