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Finding the Fourth Proportional to 17,858.36, 26,783.70 and 11,275.76

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Solution

The fourth proportional to 17,858.36, 26,783.70 and 11,275.76 is: 16,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.36 : 26,783.70 = 11,275.76 : x
  2. Step 2: Convert to fraction form
    17,858.36/26,783.70 = 11,275.76/x
  3. Step 3: Cross multiply
    17,858.36x = 26,783.70 × 11,275.76
  4. Step 4: Simplify right side
    17,858.36x = 302,006,573.11
  5. Step 5: Solve for x
    x = 302,006,573.11/17,858.36
  6. Step 6: Final answer
    x = 16,911.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.