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Finding the Fourth Proportional to 18,102.30, 24,980.78 and 10,548.16

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Solution

The fourth proportional to 18,102.30, 24,980.78 and 10,548.16 is: 14,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.30 : 24,980.78 = 10,548.16 : x
  2. Step 2: Convert to fraction form
    18,102.30/24,980.78 = 10,548.16/x
  3. Step 3: Cross multiply
    18,102.30x = 24,980.78 × 10,548.16
  4. Step 4: Simplify right side
    18,102.30x = 263,501,264.36
  5. Step 5: Solve for x
    x = 263,501,264.36/18,102.30
  6. Step 6: Final answer
    x = 14,556.23

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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.