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Finding the Fourth Proportional to 28,091.40, 38,766.16 and 15,516.16

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Solution

The fourth proportional to 28,091.40, 38,766.16 and 15,516.16 is: 21,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,091.40 : 38,766.16 = 15,516.16 : x
  2. Step 2: Convert to fraction form
    28,091.40/38,766.16 = 15,516.16/x
  3. Step 3: Cross multiply
    28,091.40x = 38,766.16 × 15,516.16
  4. Step 4: Simplify right side
    28,091.40x = 601,501,941.15
  5. Step 5: Solve for x
    x = 601,501,941.15/28,091.40
  6. Step 6: Final answer
    x = 21,412.32

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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.