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Finding the Fourth Proportional to 13,245.47, 19,876.57 and 7,405.91

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Solution

The fourth proportional to 13,245.47, 19,876.57 and 7,405.91 is: 11,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,245.47 : 19,876.57 = 7,405.91 : x
  2. Step 2: Convert to fraction form
    13,245.47/19,876.57 = 7,405.91/x
  3. Step 3: Cross multiply
    13,245.47x = 19,876.57 × 7,405.91
  4. Step 4: Simplify right side
    13,245.47x = 147,204,088.53
  5. Step 5: Solve for x
    x = 147,204,088.53/13,245.47
  6. Step 6: Final answer
    x = 11,113.54

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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.