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Finding the Fourth Proportional to 12,686.52, 19,038.38 and 4,478.52

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Solution

The fourth proportional to 12,686.52, 19,038.38 and 4,478.52 is: 6,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.52 : 19,038.38 = 4,478.52 : x
  2. Step 2: Convert to fraction form
    12,686.52/19,038.38 = 4,478.52/x
  3. Step 3: Cross multiply
    12,686.52x = 19,038.38 × 4,478.52
  4. Step 4: Simplify right side
    12,686.52x = 85,263,765.60
  5. Step 5: Solve for x
    x = 85,263,765.60/12,686.52
  6. Step 6: Final answer
    x = 6,720.82

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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.