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Finding the Fourth Proportional to 28,378.41, 42,523.47 and 10,838.67

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Solution

The fourth proportional to 28,378.41, 42,523.47 and 10,838.67 is: 16,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,378.41 : 42,523.47 = 10,838.67 : x
  2. Step 2: Convert to fraction form
    28,378.41/42,523.47 = 10,838.67/x
  3. Step 3: Cross multiply
    28,378.41x = 42,523.47 × 10,838.67
  4. Step 4: Simplify right side
    28,378.41x = 460,897,858.58
  5. Step 5: Solve for x
    x = 460,897,858.58/28,378.41
  6. Step 6: Final answer
    x = 16,241.14

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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.