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Finding the Fourth Proportional to 15,804.28, 21,812 and 15,285.04

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Solution

The fourth proportional to 15,804.28, 21,812 and 15,285.04 is: 21,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.28 : 21,812 = 15,285.04 : x
  2. Step 2: Convert to fraction form
    15,804.28/21,812 = 15,285.04/x
  3. Step 3: Cross multiply
    15,804.28x = 21,812 × 15,285.04
  4. Step 4: Simplify right side
    15,804.28x = 333,397,292.48
  5. Step 5: Solve for x
    x = 333,397,292.48/15,804.28
  6. Step 6: Final answer
    x = 21,095.38

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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.