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Finding the Fourth Proportional to 13,142.66, 18,045.27 and 12,800.16

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Solution

The fourth proportional to 13,142.66, 18,045.27 and 12,800.16 is: 17,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.66 : 18,045.27 = 12,800.16 : x
  2. Step 2: Convert to fraction form
    13,142.66/18,045.27 = 12,800.16/x
  3. Step 3: Cross multiply
    13,142.66x = 18,045.27 × 12,800.16
  4. Step 4: Simplify right side
    13,142.66x = 230,982,343.24
  5. Step 5: Solve for x
    x = 230,982,343.24/13,142.66
  6. Step 6: Final answer
    x = 17,575.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.