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Finding the Fourth Proportional to 12,416.36, 18,602.87 and 10,349.64

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Solution

The fourth proportional to 12,416.36, 18,602.87 and 10,349.64 is: 15,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.36 : 18,602.87 = 10,349.64 : x
  2. Step 2: Convert to fraction form
    12,416.36/18,602.87 = 10,349.64/x
  3. Step 3: Cross multiply
    12,416.36x = 18,602.87 × 10,349.64
  4. Step 4: Simplify right side
    12,416.36x = 192,532,955.72
  5. Step 5: Solve for x
    x = 192,532,955.72/12,416.36
  6. Step 6: Final answer
    x = 15,506.40

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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.