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Finding the Fourth Proportional to 12,824.50, 19,243.41 and 9,703.58

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Solution

The fourth proportional to 12,824.50, 19,243.41 and 9,703.58 is: 14,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.50 : 19,243.41 = 9,703.58 : x
  2. Step 2: Convert to fraction form
    12,824.50/19,243.41 = 9,703.58/x
  3. Step 3: Cross multiply
    12,824.50x = 19,243.41 × 9,703.58
  4. Step 4: Simplify right side
    12,824.50x = 186,730,025.92
  5. Step 5: Solve for x
    x = 186,730,025.92/12,824.50
  6. Step 6: Final answer
    x = 14,560.41

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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.