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Finding the Fourth Proportional to 12,284.41, 18,430.93 and 6,048.80

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Solution

The fourth proportional to 12,284.41, 18,430.93 and 6,048.80 is: 9,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.41 : 18,430.93 = 6,048.80 : x
  2. Step 2: Convert to fraction form
    12,284.41/18,430.93 = 6,048.80/x
  3. Step 3: Cross multiply
    12,284.41x = 18,430.93 × 6,048.80
  4. Step 4: Simplify right side
    12,284.41x = 111,485,002.41
  5. Step 5: Solve for x
    x = 111,485,002.41/12,284.41
  6. Step 6: Final answer
    x = 9,075.33

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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.