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Finding the Fourth Proportional to 14,488.28, 19,994.22 and 8,201

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Solution

The fourth proportional to 14,488.28, 19,994.22 and 8,201 is: 11,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.28 : 19,994.22 = 8,201 : x
  2. Step 2: Convert to fraction form
    14,488.28/19,994.22 = 8,201/x
  3. Step 3: Cross multiply
    14,488.28x = 19,994.22 × 8,201
  4. Step 4: Simplify right side
    14,488.28x = 163,972,598.22
  5. Step 5: Solve for x
    x = 163,972,598.22/14,488.28
  6. Step 6: Final answer
    x = 11,317.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.