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Finding the Fourth Proportional to 17,810.93, 24,573.78 and 10,257.06

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Solution

The fourth proportional to 17,810.93, 24,573.78 and 10,257.06 is: 14,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.93 : 24,573.78 = 10,257.06 : x
  2. Step 2: Convert to fraction form
    17,810.93/24,573.78 = 10,257.06/x
  3. Step 3: Cross multiply
    17,810.93x = 24,573.78 × 10,257.06
  4. Step 4: Simplify right side
    17,810.93x = 252,054,828.04
  5. Step 5: Solve for x
    x = 252,054,828.04/17,810.93
  6. Step 6: Final answer
    x = 14,151.69

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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.