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Finding the Fourth Proportional to 27,784, 38,342.28 and 15,208.48

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Solution

The fourth proportional to 27,784, 38,342.28 and 15,208.48 is: 20,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784 : 38,342.28 = 15,208.48 : x
  2. Step 2: Convert to fraction form
    27,784/38,342.28 = 15,208.48/x
  3. Step 3: Cross multiply
    27,784x = 38,342.28 × 15,208.48
  4. Step 4: Simplify right side
    27,784x = 583,127,798.53
  5. Step 5: Solve for x
    x = 583,127,798.53/27,784
  6. Step 6: Final answer
    x = 20,987.90

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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.