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Finding the Fourth Proportional to 18,681.25, 25,780.13 and 10,297.93

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Solution

The fourth proportional to 18,681.25, 25,780.13 and 10,297.93 is: 14,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.25 : 25,780.13 = 10,297.93 : x
  2. Step 2: Convert to fraction form
    18,681.25/25,780.13 = 10,297.93/x
  3. Step 3: Cross multiply
    18,681.25x = 25,780.13 × 10,297.93
  4. Step 4: Simplify right side
    18,681.25x = 265,481,922.64
  5. Step 5: Solve for x
    x = 265,481,922.64/18,681.25
  6. Step 6: Final answer
    x = 14,211.14

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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.