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Finding the Fourth Proportional to 14,378.28, 21,578.94 and 7,454.76

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Solution

The fourth proportional to 14,378.28, 21,578.94 and 7,454.76 is: 11,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.28 : 21,578.94 = 7,454.76 : x
  2. Step 2: Convert to fraction form
    14,378.28/21,578.94 = 7,454.76/x
  3. Step 3: Cross multiply
    14,378.28x = 21,578.94 × 7,454.76
  4. Step 4: Simplify right side
    14,378.28x = 160,865,818.75
  5. Step 5: Solve for x
    x = 160,865,818.75/14,378.28
  6. Step 6: Final answer
    x = 11,188.11

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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.