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Finding the Fourth Proportional to 13,257.66, 19,885.44 and 7,707.46

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Solution

The fourth proportional to 13,257.66, 19,885.44 and 7,707.46 is: 11,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.66 : 19,885.44 = 7,707.46 : x
  2. Step 2: Convert to fraction form
    13,257.66/19,885.44 = 7,707.46/x
  3. Step 3: Cross multiply
    13,257.66x = 19,885.44 × 7,707.46
  4. Step 4: Simplify right side
    13,257.66x = 153,266,212.57
  5. Step 5: Solve for x
    x = 153,266,212.57/13,257.66
  6. Step 6: Final answer
    x = 11,560.58

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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.