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Finding the Fourth Proportional to 13,294.50, 19,784.79 and 12,851.56

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Solution

The fourth proportional to 13,294.50, 19,784.79 and 12,851.56 is: 19,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.50 : 19,784.79 = 12,851.56 : x
  2. Step 2: Convert to fraction form
    13,294.50/19,784.79 = 12,851.56/x
  3. Step 3: Cross multiply
    13,294.50x = 19,784.79 × 12,851.56
  4. Step 4: Simplify right side
    13,294.50x = 254,265,415.77
  5. Step 5: Solve for x
    x = 254,265,415.77/13,294.50
  6. Step 6: Final answer
    x = 19,125.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.