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Finding the Fourth Proportional to 18,235.98, 25,164.14 and 10,280.16

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Solution

The fourth proportional to 18,235.98, 25,164.14 and 10,280.16 is: 14,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.98 : 25,164.14 = 10,280.16 : x
  2. Step 2: Convert to fraction form
    18,235.98/25,164.14 = 10,280.16/x
  3. Step 3: Cross multiply
    18,235.98x = 25,164.14 × 10,280.16
  4. Step 4: Simplify right side
    18,235.98x = 258,691,411.16
  5. Step 5: Solve for x
    x = 258,691,411.16/18,235.98
  6. Step 6: Final answer
    x = 14,185.77

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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.