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Finding the Fourth Proportional to 27,615.36, 38,088 and 16,435.20

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Solution

The fourth proportional to 27,615.36, 38,088 and 16,435.20 is: 22,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.36 : 38,088 = 16,435.20 : x
  2. Step 2: Convert to fraction form
    27,615.36/38,088 = 16,435.20/x
  3. Step 3: Cross multiply
    27,615.36x = 38,088 × 16,435.20
  4. Step 4: Simplify right side
    27,615.36x = 625,983,897.60
  5. Step 5: Solve for x
    x = 625,983,897.60/27,615.36
  6. Step 6: Final answer
    x = 22,667.96

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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.