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Finding the Fourth Proportional to 14,617.78, 21,928.80 and 4,619.14

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Solution

The fourth proportional to 14,617.78, 21,928.80 and 4,619.14 is: 6,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.78 : 21,928.80 = 4,619.14 : x
  2. Step 2: Convert to fraction form
    14,617.78/21,928.80 = 4,619.14/x
  3. Step 3: Cross multiply
    14,617.78x = 21,928.80 × 4,619.14
  4. Step 4: Simplify right side
    14,617.78x = 101,292,197.23
  5. Step 5: Solve for x
    x = 101,292,197.23/14,617.78
  6. Step 6: Final answer
    x = 6,929.38

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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.