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Finding the Fourth Proportional to 19,460.40, 26,857.44 and 11,076

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Solution

The fourth proportional to 19,460.40, 26,857.44 and 11,076 is: 15,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,460.40 : 26,857.44 = 11,076 : x
  2. Step 2: Convert to fraction form
    19,460.40/26,857.44 = 11,076/x
  3. Step 3: Cross multiply
    19,460.40x = 26,857.44 × 11,076
  4. Step 4: Simplify right side
    19,460.40x = 297,473,005.44
  5. Step 5: Solve for x
    x = 297,473,005.44/19,460.40
  6. Step 6: Final answer
    x = 15,286.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.