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Finding the Fourth Proportional to 18,704.04, 25,810.86 and 10,206

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Solution

The fourth proportional to 18,704.04, 25,810.86 and 10,206 is: 14,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,704.04 : 25,810.86 = 10,206 : x
  2. Step 2: Convert to fraction form
    18,704.04/25,810.86 = 10,206/x
  3. Step 3: Cross multiply
    18,704.04x = 25,810.86 × 10,206
  4. Step 4: Simplify right side
    18,704.04x = 263,425,637.16
  5. Step 5: Solve for x
    x = 263,425,637.16/18,704.04
  6. Step 6: Final answer
    x = 14,083.89

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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.