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Finding the Fourth Proportional to 12,638.32, 18,957.48 and 11,686

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Solution

The fourth proportional to 12,638.32, 18,957.48 and 11,686 is: 17,529

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.32 : 18,957.48 = 11,686 : x
  2. Step 2: Convert to fraction form
    12,638.32/18,957.48 = 11,686/x
  3. Step 3: Cross multiply
    12,638.32x = 18,957.48 × 11,686
  4. Step 4: Simplify right side
    12,638.32x = 221,537,111.28
  5. Step 5: Solve for x
    x = 221,537,111.28/12,638.32
  6. Step 6: Final answer
    x = 17,529

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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.