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Finding the Fourth Proportional to 18,529.56, 25,570.74 and 10,146

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Solution

The fourth proportional to 18,529.56, 25,570.74 and 10,146 is: 14,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,529.56 : 25,570.74 = 10,146 : x
  2. Step 2: Convert to fraction form
    18,529.56/25,570.74 = 10,146/x
  3. Step 3: Cross multiply
    18,529.56x = 25,570.74 × 10,146
  4. Step 4: Simplify right side
    18,529.56x = 259,440,728.04
  5. Step 5: Solve for x
    x = 259,440,728.04/18,529.56
  6. Step 6: Final answer
    x = 14,001.45

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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.