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Finding the Fourth Proportional to 19,322.50, 28,975.31 and 6,838.38

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Solution

The fourth proportional to 19,322.50, 28,975.31 and 6,838.38 is: 10,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.50 : 28,975.31 = 6,838.38 : x
  2. Step 2: Convert to fraction form
    19,322.50/28,975.31 = 6,838.38/x
  3. Step 3: Cross multiply
    19,322.50x = 28,975.31 × 6,838.38
  4. Step 4: Simplify right side
    19,322.50x = 198,144,180.40
  5. Step 5: Solve for x
    x = 198,144,180.40/19,322.50
  6. Step 6: Final answer
    x = 10,254.58

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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.