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Finding the Fourth Proportional to 20,178, 27,849.32 and 19,292.40

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Solution

The fourth proportional to 20,178, 27,849.32 and 19,292.40 is: 26,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 27,849.32 = 19,292.40 : x
  2. Step 2: Convert to fraction form
    20,178/27,849.32 = 19,292.40/x
  3. Step 3: Cross multiply
    20,178x = 27,849.32 × 19,292.40
  4. Step 4: Simplify right side
    20,178x = 537,280,221.17
  5. Step 5: Solve for x
    x = 537,280,221.17/20,178
  6. Step 6: Final answer
    x = 26,627.03

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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.