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Finding the Fourth Proportional to 13,142.07, 18,136 and 7,173.74

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Solution

The fourth proportional to 13,142.07, 18,136 and 7,173.74 is: 9,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.07 : 18,136 = 7,173.74 : x
  2. Step 2: Convert to fraction form
    13,142.07/18,136 = 7,173.74/x
  3. Step 3: Cross multiply
    13,142.07x = 18,136 × 7,173.74
  4. Step 4: Simplify right side
    13,142.07x = 130,102,948.64
  5. Step 5: Solve for x
    x = 130,102,948.64/13,142.07
  6. Step 6: Final answer
    x = 9,899.73

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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.