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Finding the Fourth Proportional to 21,478.86, 29,638.34 and 12,986.10

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Solution

The fourth proportional to 21,478.86, 29,638.34 and 12,986.10 is: 17,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.86 : 29,638.34 = 12,986.10 : x
  2. Step 2: Convert to fraction form
    21,478.86/29,638.34 = 12,986.10/x
  3. Step 3: Cross multiply
    21,478.86x = 29,638.34 × 12,986.10
  4. Step 4: Simplify right side
    21,478.86x = 384,886,447.07
  5. Step 5: Solve for x
    x = 384,886,447.07/21,478.86
  6. Step 6: Final answer
    x = 17,919.31

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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.