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Finding the Fourth Proportional to 12,698.14, 19,059.50 and 6,128.95

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Solution

The fourth proportional to 12,698.14, 19,059.50 and 6,128.95 is: 9,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.14 : 19,059.50 = 6,128.95 : x
  2. Step 2: Convert to fraction form
    12,698.14/19,059.50 = 6,128.95/x
  3. Step 3: Cross multiply
    12,698.14x = 19,059.50 × 6,128.95
  4. Step 4: Simplify right side
    12,698.14x = 116,814,691.88
  5. Step 5: Solve for x
    x = 116,814,691.88/12,698.14
  6. Step 6: Final answer
    x = 9,199.35

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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.