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Finding the Fourth Proportional to 20,827.48, 28,751.42 and 13,284.16

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Solution

The fourth proportional to 20,827.48, 28,751.42 and 13,284.16 is: 18,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.48 : 28,751.42 = 13,284.16 : x
  2. Step 2: Convert to fraction form
    20,827.48/28,751.42 = 13,284.16/x
  3. Step 3: Cross multiply
    20,827.48x = 28,751.42 × 13,284.16
  4. Step 4: Simplify right side
    20,827.48x = 381,938,463.51
  5. Step 5: Solve for x
    x = 381,938,463.51/20,827.48
  6. Step 6: Final answer
    x = 18,338.20

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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.