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Finding the Fourth Proportional to 12,697.64, 19,058.75 and 6,128.45

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Solution

The fourth proportional to 12,697.64, 19,058.75 and 6,128.45 is: 9,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.64 : 19,058.75 = 6,128.45 : x
  2. Step 2: Convert to fraction form
    12,697.64/19,058.75 = 6,128.45/x
  3. Step 3: Cross multiply
    12,697.64x = 19,058.75 × 6,128.45
  4. Step 4: Simplify right side
    12,697.64x = 116,800,565.80
  5. Step 5: Solve for x
    x = 116,800,565.80/12,697.64
  6. Step 6: Final answer
    x = 9,198.60

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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.