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Finding the Fourth Proportional to 18,144, 25,036.80 and 10,187.12

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Solution

The fourth proportional to 18,144, 25,036.80 and 10,187.12 is: 14,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 25,036.80 = 10,187.12 : x
  2. Step 2: Convert to fraction form
    18,144/25,036.80 = 10,187.12/x
  3. Step 3: Cross multiply
    18,144x = 25,036.80 × 10,187.12
  4. Step 4: Simplify right side
    18,144x = 255,052,886.02
  5. Step 5: Solve for x
    x = 255,052,886.02/18,144
  6. Step 6: Final answer
    x = 14,057.15

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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.