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Finding the Fourth Proportional to 12,686.16, 19,028.41 and 4,370.16

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Solution

The fourth proportional to 12,686.16, 19,028.41 and 4,370.16 is: 6,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.16 : 19,028.41 = 4,370.16 : x
  2. Step 2: Convert to fraction form
    12,686.16/19,028.41 = 4,370.16/x
  3. Step 3: Cross multiply
    12,686.16x = 19,028.41 × 4,370.16
  4. Step 4: Simplify right side
    12,686.16x = 83,157,196.25
  5. Step 5: Solve for x
    x = 83,157,196.25/12,686.16
  6. Step 6: Final answer
    x = 6,554.95

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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.