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Finding the Fourth Proportional to 12,315.85, 18,461.32 and 5,300.44

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Solution

The fourth proportional to 12,315.85, 18,461.32 and 5,300.44 is: 7,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.85 : 18,461.32 = 5,300.44 : x
  2. Step 2: Convert to fraction form
    12,315.85/18,461.32 = 5,300.44/x
  3. Step 3: Cross multiply
    12,315.85x = 18,461.32 × 5,300.44
  4. Step 4: Simplify right side
    12,315.85x = 97,853,059.58
  5. Step 5: Solve for x
    x = 97,853,059.58/12,315.85
  6. Step 6: Final answer
    x = 7,945.30

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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.