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Finding the Fourth Proportional to 28,214.51, 38,935.77 and 15,468.42

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Solution

The fourth proportional to 28,214.51, 38,935.77 and 15,468.42 is: 21,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.51 : 38,935.77 = 15,468.42 : x
  2. Step 2: Convert to fraction form
    28,214.51/38,935.77 = 15,468.42/x
  3. Step 3: Cross multiply
    28,214.51x = 38,935.77 × 15,468.42
  4. Step 4: Simplify right side
    28,214.51x = 602,274,843.38
  5. Step 5: Solve for x
    x = 602,274,843.38/28,214.51
  6. Step 6: Final answer
    x = 21,346.28

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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.