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Finding the Fourth Proportional to 13,896.34, 19,176.78 and 7,608.58

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Solution

The fourth proportional to 13,896.34, 19,176.78 and 7,608.58 is: 10,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.34 : 19,176.78 = 7,608.58 : x
  2. Step 2: Convert to fraction form
    13,896.34/19,176.78 = 7,608.58/x
  3. Step 3: Cross multiply
    13,896.34x = 19,176.78 × 7,608.58
  4. Step 4: Simplify right side
    13,896.34x = 145,908,064.77
  5. Step 5: Solve for x
    x = 145,908,064.77/13,896.34
  6. Step 6: Final answer
    x = 10,499.75

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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.