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Finding the Fourth Proportional to 14,284.77, 21,412.26 and 5,969.58

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Solution

The fourth proportional to 14,284.77, 21,412.26 and 5,969.58 is: 8,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.77 : 21,412.26 = 5,969.58 : x
  2. Step 2: Convert to fraction form
    14,284.77/21,412.26 = 5,969.58/x
  3. Step 3: Cross multiply
    14,284.77x = 21,412.26 × 5,969.58
  4. Step 4: Simplify right side
    14,284.77x = 127,822,199.05
  5. Step 5: Solve for x
    x = 127,822,199.05/14,284.77
  6. Step 6: Final answer
    x = 8,948.15

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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.