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Finding the Fourth Proportional to 12,357.10, 18,536.91 and 4,564.09

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Solution

The fourth proportional to 12,357.10, 18,536.91 and 4,564.09 is: 6,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.10 : 18,536.91 = 4,564.09 : x
  2. Step 2: Convert to fraction form
    12,357.10/18,536.91 = 4,564.09/x
  3. Step 3: Cross multiply
    12,357.10x = 18,536.91 × 4,564.09
  4. Step 4: Simplify right side
    12,357.10x = 84,604,125.56
  5. Step 5: Solve for x
    x = 84,604,125.56/12,357.10
  6. Step 6: Final answer
    x = 6,846.60

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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.