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Finding the Fourth Proportional to 28,020, 38,667.60 and 16,842

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Solution

The fourth proportional to 28,020, 38,667.60 and 16,842 is: 23,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,020 : 38,667.60 = 16,842 : x
  2. Step 2: Convert to fraction form
    28,020/38,667.60 = 16,842/x
  3. Step 3: Cross multiply
    28,020x = 38,667.60 × 16,842
  4. Step 4: Simplify right side
    28,020x = 651,239,719.20
  5. Step 5: Solve for x
    x = 651,239,719.20/28,020
  6. Step 6: Final answer
    x = 23,241.96

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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.