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Finding the Fourth Proportional to 13,638.68, 18,821.92 and 7,670.32

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Solution

The fourth proportional to 13,638.68, 18,821.92 and 7,670.32 is: 10,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.68 : 18,821.92 = 7,670.32 : x
  2. Step 2: Convert to fraction form
    13,638.68/18,821.92 = 7,670.32/x
  3. Step 3: Cross multiply
    13,638.68x = 18,821.92 × 7,670.32
  4. Step 4: Simplify right side
    13,638.68x = 144,370,149.41
  5. Step 5: Solve for x
    x = 144,370,149.41/13,638.68
  6. Step 6: Final answer
    x = 10,585.35

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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.