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Finding the Fourth Proportional to 14,619.80, 21,894.86 and 9,338.46

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Solution

The fourth proportional to 14,619.80, 21,894.86 and 9,338.46 is: 13,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619.80 : 21,894.86 = 9,338.46 : x
  2. Step 2: Convert to fraction form
    14,619.80/21,894.86 = 9,338.46/x
  3. Step 3: Cross multiply
    14,619.80x = 21,894.86 × 9,338.46
  4. Step 4: Simplify right side
    14,619.80x = 204,464,274.32
  5. Step 5: Solve for x
    x = 204,464,274.32/14,619.80
  6. Step 6: Final answer
    x = 13,985.44

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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.