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Finding the Fourth Proportional to 12,207.35, 18,260.89 and 9,746.98

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Solution

The fourth proportional to 12,207.35, 18,260.89 and 9,746.98 is: 14,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.35 : 18,260.89 = 9,746.98 : x
  2. Step 2: Convert to fraction form
    12,207.35/18,260.89 = 9,746.98/x
  3. Step 3: Cross multiply
    12,207.35x = 18,260.89 × 9,746.98
  4. Step 4: Simplify right side
    12,207.35x = 177,988,529.61
  5. Step 5: Solve for x
    x = 177,988,529.61/12,207.35
  6. Step 6: Final answer
    x = 14,580.44

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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.