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Finding the Fourth Proportional to 12,359.84, 18,543.23 and 4,969.50

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Solution

The fourth proportional to 12,359.84, 18,543.23 and 4,969.50 is: 7,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.84 : 18,543.23 = 4,969.50 : x
  2. Step 2: Convert to fraction form
    12,359.84/18,543.23 = 4,969.50/x
  3. Step 3: Cross multiply
    12,359.84x = 18,543.23 × 4,969.50
  4. Step 4: Simplify right side
    12,359.84x = 92,150,610.04
  5. Step 5: Solve for x
    x = 92,150,610.04/12,359.84
  6. Step 6: Final answer
    x = 7,455.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.