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Finding the Fourth Proportional to 19,838.13, 27,376.61 and 11,454.63

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Solution

The fourth proportional to 19,838.13, 27,376.61 and 11,454.63 is: 15,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.13 : 27,376.61 = 11,454.63 : x
  2. Step 2: Convert to fraction form
    19,838.13/27,376.61 = 11,454.63/x
  3. Step 3: Cross multiply
    19,838.13x = 27,376.61 × 11,454.63
  4. Step 4: Simplify right side
    19,838.13x = 313,588,938.20
  5. Step 5: Solve for x
    x = 313,588,938.20/19,838.13
  6. Step 6: Final answer
    x = 15,807.38

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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.