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Finding the Fourth Proportional to 12,257.60, 18,394.72 and 8,088.64

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Solution

The fourth proportional to 12,257.60, 18,394.72 and 8,088.64 is: 12,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.60 : 18,394.72 = 8,088.64 : x
  2. Step 2: Convert to fraction form
    12,257.60/18,394.72 = 8,088.64/x
  3. Step 3: Cross multiply
    12,257.60x = 18,394.72 × 8,088.64
  4. Step 4: Simplify right side
    12,257.60x = 148,788,267.98
  5. Step 5: Solve for x
    x = 148,788,267.98/12,257.60
  6. Step 6: Final answer
    x = 12,138.45

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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.