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Finding the Fourth Proportional to 28,039.34, 38,692 and 15,464.10

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Solution

The fourth proportional to 28,039.34, 38,692 and 15,464.10 is: 21,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,039.34 : 38,692 = 15,464.10 : x
  2. Step 2: Convert to fraction form
    28,039.34/38,692 = 15,464.10/x
  3. Step 3: Cross multiply
    28,039.34x = 38,692 × 15,464.10
  4. Step 4: Simplify right side
    28,039.34x = 598,336,957.20
  5. Step 5: Solve for x
    x = 598,336,957.20/28,039.34
  6. Step 6: Final answer
    x = 21,339.20

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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.