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Finding the Fourth Proportional to 12,316.10, 18,435.97 and 9,956.42

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Solution

The fourth proportional to 12,316.10, 18,435.97 and 9,956.42 is: 14,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.10 : 18,435.97 = 9,956.42 : x
  2. Step 2: Convert to fraction form
    12,316.10/18,435.97 = 9,956.42/x
  3. Step 3: Cross multiply
    12,316.10x = 18,435.97 × 9,956.42
  4. Step 4: Simplify right side
    12,316.10x = 183,556,118.47
  5. Step 5: Solve for x
    x = 183,556,118.47/12,316.10
  6. Step 6: Final answer
    x = 14,903.75

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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.