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Finding the Fourth Proportional to 12,657.60, 18,960.98 and 11,624.16

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Solution

The fourth proportional to 12,657.60, 18,960.98 and 11,624.16 is: 17,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.60 : 18,960.98 = 11,624.16 : x
  2. Step 2: Convert to fraction form
    12,657.60/18,960.98 = 11,624.16/x
  3. Step 3: Cross multiply
    12,657.60x = 18,960.98 × 11,624.16
  4. Step 4: Simplify right side
    12,657.60x = 220,405,465.28
  5. Step 5: Solve for x
    x = 220,405,465.28/12,657.60
  6. Step 6: Final answer
    x = 17,412.90

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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.