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Finding the Fourth Proportional to 19,876.59, 27,430.38 and 10,924.47

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Solution

The fourth proportional to 19,876.59, 27,430.38 and 10,924.47 is: 15,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.59 : 27,430.38 = 10,924.47 : x
  2. Step 2: Convert to fraction form
    19,876.59/27,430.38 = 10,924.47/x
  3. Step 3: Cross multiply
    19,876.59x = 27,430.38 × 10,924.47
  4. Step 4: Simplify right side
    19,876.59x = 299,662,363.40
  5. Step 5: Solve for x
    x = 299,662,363.40/19,876.59
  6. Step 6: Final answer
    x = 15,076.15

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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.