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Finding the Fourth Proportional to 13,132, 18,121.98 and 7,827.04

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Solution

The fourth proportional to 13,132, 18,121.98 and 7,827.04 is: 10,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132 : 18,121.98 = 7,827.04 : x
  2. Step 2: Convert to fraction form
    13,132/18,121.98 = 7,827.04/x
  3. Step 3: Cross multiply
    13,132x = 18,121.98 × 7,827.04
  4. Step 4: Simplify right side
    13,132x = 141,841,462.34
  5. Step 5: Solve for x
    x = 141,841,462.34/13,132
  6. Step 6: Final answer
    x = 10,801.21

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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.