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Finding the Fourth Proportional to 12,912.15, 19,368.23 and 7,663.35

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Solution

The fourth proportional to 12,912.15, 19,368.23 and 7,663.35 is: 11,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.15 : 19,368.23 = 7,663.35 : x
  2. Step 2: Convert to fraction form
    12,912.15/19,368.23 = 7,663.35/x
  3. Step 3: Cross multiply
    12,912.15x = 19,368.23 × 7,663.35
  4. Step 4: Simplify right side
    12,912.15x = 148,425,487.05
  5. Step 5: Solve for x
    x = 148,425,487.05/12,912.15
  6. Step 6: Final answer
    x = 11,495.03

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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.