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Finding the Fourth Proportional to 19,656, 27,125.28 and 10,824

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Solution

The fourth proportional to 19,656, 27,125.28 and 10,824 is: 14,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 27,125.28 = 10,824 : x
  2. Step 2: Convert to fraction form
    19,656/27,125.28 = 10,824/x
  3. Step 3: Cross multiply
    19,656x = 27,125.28 × 10,824
  4. Step 4: Simplify right side
    19,656x = 293,604,030.72
  5. Step 5: Solve for x
    x = 293,604,030.72/19,656
  6. Step 6: Final answer
    x = 14,937.12

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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.