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Finding the Fourth Proportional to 13,136.96, 18,127.52 and 7,549.76

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Solution

The fourth proportional to 13,136.96, 18,127.52 and 7,549.76 is: 10,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.96 : 18,127.52 = 7,549.76 : x
  2. Step 2: Convert to fraction form
    13,136.96/18,127.52 = 7,549.76/x
  3. Step 3: Cross multiply
    13,136.96x = 18,127.52 × 7,549.76
  4. Step 4: Simplify right side
    13,136.96x = 136,858,425.40
  5. Step 5: Solve for x
    x = 136,858,425.40/13,136.96
  6. Step 6: Final answer
    x = 10,417.82

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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.