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Finding the Fourth Proportional to 28,164.24, 38,866.05 and 15,417.09

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Solution

The fourth proportional to 28,164.24, 38,866.05 and 15,417.09 is: 21,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164.24 : 38,866.05 = 15,417.09 : x
  2. Step 2: Convert to fraction form
    28,164.24/38,866.05 = 15,417.09/x
  3. Step 3: Cross multiply
    28,164.24x = 38,866.05 × 15,417.09
  4. Step 4: Simplify right side
    28,164.24x = 599,201,390.79
  5. Step 5: Solve for x
    x = 599,201,390.79/28,164.24
  6. Step 6: Final answer
    x = 21,275.26

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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.