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Finding the Fourth Proportional to 11,874.60, 17,811.90 and 10,415.40

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Solution

The fourth proportional to 11,874.60, 17,811.90 and 10,415.40 is: 15,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.60 : 17,811.90 = 10,415.40 : x
  2. Step 2: Convert to fraction form
    11,874.60/17,811.90 = 10,415.40/x
  3. Step 3: Cross multiply
    11,874.60x = 17,811.90 × 10,415.40
  4. Step 4: Simplify right side
    11,874.60x = 185,518,063.26
  5. Step 5: Solve for x
    x = 185,518,063.26/11,874.60
  6. Step 6: Final answer
    x = 15,623.10

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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.