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Finding the Fourth Proportional to 13,256.53, 19,883.75 and 7,706.33

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Solution

The fourth proportional to 13,256.53, 19,883.75 and 7,706.33 is: 11,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.53 : 19,883.75 = 7,706.33 : x
  2. Step 2: Convert to fraction form
    13,256.53/19,883.75 = 7,706.33/x
  3. Step 3: Cross multiply
    13,256.53x = 19,883.75 × 7,706.33
  4. Step 4: Simplify right side
    13,256.53x = 153,230,808.11
  5. Step 5: Solve for x
    x = 153,230,808.11/13,256.53
  6. Step 6: Final answer
    x = 11,558.89

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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.