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Finding the Fourth Proportional to 12,721.90, 17,558.40 and 7,416.67

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Solution

The fourth proportional to 12,721.90, 17,558.40 and 7,416.67 is: 10,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.90 : 17,558.40 = 7,416.67 : x
  2. Step 2: Convert to fraction form
    12,721.90/17,558.40 = 7,416.67/x
  3. Step 3: Cross multiply
    12,721.90x = 17,558.40 × 7,416.67
  4. Step 4: Simplify right side
    12,721.90x = 130,224,858.53
  5. Step 5: Solve for x
    x = 130,224,858.53/12,721.90
  6. Step 6: Final answer
    x = 10,236.27

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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.