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Finding the Fourth Proportional to 19,534.49, 26,953.12 and 11,036.17

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Solution

The fourth proportional to 19,534.49, 26,953.12 and 11,036.17 is: 15,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.49 : 26,953.12 = 11,036.17 : x
  2. Step 2: Convert to fraction form
    19,534.49/26,953.12 = 11,036.17/x
  3. Step 3: Cross multiply
    19,534.49x = 26,953.12 × 11,036.17
  4. Step 4: Simplify right side
    19,534.49x = 297,459,214.35
  5. Step 5: Solve for x
    x = 297,459,214.35/19,534.49
  6. Step 6: Final answer
    x = 15,227.39

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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.