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Finding the Fourth Proportional to 13,257.78, 19,885.63 and 7,707.59

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Solution

The fourth proportional to 13,257.78, 19,885.63 and 7,707.59 is: 11,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.78 : 19,885.63 = 7,707.59 : x
  2. Step 2: Convert to fraction form
    13,257.78/19,885.63 = 7,707.59/x
  3. Step 3: Cross multiply
    13,257.78x = 19,885.63 × 7,707.59
  4. Step 4: Simplify right side
    13,257.78x = 153,270,144.97
  5. Step 5: Solve for x
    x = 153,270,144.97/13,257.78
  6. Step 6: Final answer
    x = 11,560.77

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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.