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Finding the Fourth Proportional to 18,142.74, 25,036.94 and 10,185.70

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Solution

The fourth proportional to 18,142.74, 25,036.94 and 10,185.70 is: 14,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.74 : 25,036.94 = 10,185.70 : x
  2. Step 2: Convert to fraction form
    18,142.74/25,036.94 = 10,185.70/x
  3. Step 3: Cross multiply
    18,142.74x = 25,036.94 × 10,185.70
  4. Step 4: Simplify right side
    18,142.74x = 255,018,759.76
  5. Step 5: Solve for x
    x = 255,018,759.76/18,142.74
  6. Step 6: Final answer
    x = 14,056.24

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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.