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Finding the Fourth Proportional to 13,294.63, 19,915.08 and 8,026.66

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Solution

The fourth proportional to 13,294.63, 19,915.08 and 8,026.66 is: 12,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.63 : 19,915.08 = 8,026.66 : x
  2. Step 2: Convert to fraction form
    13,294.63/19,915.08 = 8,026.66/x
  3. Step 3: Cross multiply
    13,294.63x = 19,915.08 × 8,026.66
  4. Step 4: Simplify right side
    13,294.63x = 159,851,576.03
  5. Step 5: Solve for x
    x = 159,851,576.03/13,294.63
  6. Step 6: Final answer
    x = 12,023.77

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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.