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Finding the Fourth Proportional to 28,284.64, 39,033.04 and 15,709.60

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Solution

The fourth proportional to 28,284.64, 39,033.04 and 15,709.60 is: 21,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.64 : 39,033.04 = 15,709.60 : x
  2. Step 2: Convert to fraction form
    28,284.64/39,033.04 = 15,709.60/x
  3. Step 3: Cross multiply
    28,284.64x = 39,033.04 × 15,709.60
  4. Step 4: Simplify right side
    28,284.64x = 613,193,445.18
  5. Step 5: Solve for x
    x = 613,193,445.18/28,284.64
  6. Step 6: Final answer
    x = 21,679.38

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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.