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Finding the Fourth Proportional to 12,678.26, 19,019.84 and 4,886.46

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Solution

The fourth proportional to 12,678.26, 19,019.84 and 4,886.46 is: 7,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.26 : 19,019.84 = 4,886.46 : x
  2. Step 2: Convert to fraction form
    12,678.26/19,019.84 = 4,886.46/x
  3. Step 3: Cross multiply
    12,678.26x = 19,019.84 × 4,886.46
  4. Step 4: Simplify right side
    12,678.26x = 92,939,662.93
  5. Step 5: Solve for x
    x = 92,939,662.93/12,678.26
  6. Step 6: Final answer
    x = 7,330.64

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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.