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Finding the Fourth Proportional to 14,284.64, 19,712.88 and 7,911.44

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Solution

The fourth proportional to 14,284.64, 19,712.88 and 7,911.44 is: 10,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.64 : 19,712.88 = 7,911.44 : x
  2. Step 2: Convert to fraction form
    14,284.64/19,712.88 = 7,911.44/x
  3. Step 3: Cross multiply
    14,284.64x = 19,712.88 × 7,911.44
  4. Step 4: Simplify right side
    14,284.64x = 155,957,267.35
  5. Step 5: Solve for x
    x = 155,957,267.35/14,284.64
  6. Step 6: Final answer
    x = 10,917.83

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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.