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Finding the Fourth Proportional to 14,198.60, 19,594.28 and 7,911

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Solution

The fourth proportional to 14,198.60, 19,594.28 and 7,911 is: 10,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.60 : 19,594.28 = 7,911 : x
  2. Step 2: Convert to fraction form
    14,198.60/19,594.28 = 7,911/x
  3. Step 3: Cross multiply
    14,198.60x = 19,594.28 × 7,911
  4. Step 4: Simplify right side
    14,198.60x = 155,010,349.08
  5. Step 5: Solve for x
    x = 155,010,349.08/14,198.60
  6. Step 6: Final answer
    x = 10,917.30

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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.