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Finding the Fourth Proportional to 17,857.06, 24,638.99 and 10,782.11

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Solution

The fourth proportional to 17,857.06, 24,638.99 and 10,782.11 is: 14,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.06 : 24,638.99 = 10,782.11 : x
  2. Step 2: Convert to fraction form
    17,857.06/24,638.99 = 10,782.11/x
  3. Step 3: Cross multiply
    17,857.06x = 24,638.99 × 10,782.11
  4. Step 4: Simplify right side
    17,857.06x = 265,660,308.16
  5. Step 5: Solve for x
    x = 265,660,308.16/17,857.06
  6. Step 6: Final answer
    x = 14,877.05

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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.