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Finding the Fourth Proportional to 18,507.02, 25,538.74 and 11,434.06

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Solution

The fourth proportional to 18,507.02, 25,538.74 and 11,434.06 is: 15,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.02 : 25,538.74 = 11,434.06 : x
  2. Step 2: Convert to fraction form
    18,507.02/25,538.74 = 11,434.06/x
  3. Step 3: Cross multiply
    18,507.02x = 25,538.74 × 11,434.06
  4. Step 4: Simplify right side
    18,507.02x = 292,011,485.48
  5. Step 5: Solve for x
    x = 292,011,485.48/18,507.02
  6. Step 6: Final answer
    x = 15,778.42

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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.