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Finding the Fourth Proportional to 13,192.56, 18,205.76 and 7,142.86

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Solution

The fourth proportional to 13,192.56, 18,205.76 and 7,142.86 is: 9,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.56 : 18,205.76 = 7,142.86 : x
  2. Step 2: Convert to fraction form
    13,192.56/18,205.76 = 7,142.86/x
  3. Step 3: Cross multiply
    13,192.56x = 18,205.76 × 7,142.86
  4. Step 4: Simplify right side
    13,192.56x = 130,041,068.13
  5. Step 5: Solve for x
    x = 130,041,068.13/13,192.56
  6. Step 6: Final answer
    x = 9,857.16

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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.