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Finding the Fourth Proportional to 13,458.90, 20,160.53 and 7,895.49

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Solution

The fourth proportional to 13,458.90, 20,160.53 and 7,895.49 is: 11,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.90 : 20,160.53 = 7,895.49 : x
  2. Step 2: Convert to fraction form
    13,458.90/20,160.53 = 7,895.49/x
  3. Step 3: Cross multiply
    13,458.90x = 20,160.53 × 7,895.49
  4. Step 4: Simplify right side
    13,458.90x = 159,177,263.01
  5. Step 5: Solve for x
    x = 159,177,263.01/13,458.90
  6. Step 6: Final answer
    x = 11,826.91

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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.