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Finding the Fourth Proportional to 12,784.89, 17,638.92 and 7,475.95

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Solution

The fourth proportional to 12,784.89, 17,638.92 and 7,475.95 is: 10,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.89 : 17,638.92 = 7,475.95 : x
  2. Step 2: Convert to fraction form
    12,784.89/17,638.92 = 7,475.95/x
  3. Step 3: Cross multiply
    12,784.89x = 17,638.92 × 7,475.95
  4. Step 4: Simplify right side
    12,784.89x = 131,867,639.88
  5. Step 5: Solve for x
    x = 131,867,639.88/12,784.89
  6. Step 6: Final answer
    x = 10,314.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.