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Finding the Fourth Proportional to 12,922.88, 19,383.10 and 4,602.56

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Solution

The fourth proportional to 12,922.88, 19,383.10 and 4,602.56 is: 6,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.88 : 19,383.10 = 4,602.56 : x
  2. Step 2: Convert to fraction form
    12,922.88/19,383.10 = 4,602.56/x
  3. Step 3: Cross multiply
    12,922.88x = 19,383.10 × 4,602.56
  4. Step 4: Simplify right side
    12,922.88x = 89,211,772.31
  5. Step 5: Solve for x
    x = 89,211,772.31/12,922.88
  6. Step 6: Final answer
    x = 6,903.40

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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.