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Finding the Fourth Proportional to 12,416.60, 18,625.47 and 4,097.34

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Solution

The fourth proportional to 12,416.60, 18,625.47 and 4,097.34 is: 6,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.60 : 18,625.47 = 4,097.34 : x
  2. Step 2: Convert to fraction form
    12,416.60/18,625.47 = 4,097.34/x
  3. Step 3: Cross multiply
    12,416.60x = 18,625.47 × 4,097.34
  4. Step 4: Simplify right side
    12,416.60x = 76,314,890.93
  5. Step 5: Solve for x
    x = 76,314,890.93/12,416.60
  6. Step 6: Final answer
    x = 6,146.20

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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.