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Finding the Fourth Proportional to 14,124.96, 19,494.76 and 7,839.36

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Solution

The fourth proportional to 14,124.96, 19,494.76 and 7,839.36 is: 10,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.96 : 19,494.76 = 7,839.36 : x
  2. Step 2: Convert to fraction form
    14,124.96/19,494.76 = 7,839.36/x
  3. Step 3: Cross multiply
    14,124.96x = 19,494.76 × 7,839.36
  4. Step 4: Simplify right side
    14,124.96x = 152,826,441.75
  5. Step 5: Solve for x
    x = 152,826,441.75/14,124.96
  6. Step 6: Final answer
    x = 10,819.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.