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Finding the Fourth Proportional to 21,594, 29,792.46 and 17,608.20

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Solution

The fourth proportional to 21,594, 29,792.46 and 17,608.20 is: 24,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594 : 29,792.46 = 17,608.20 : x
  2. Step 2: Convert to fraction form
    21,594/29,792.46 = 17,608.20/x
  3. Step 3: Cross multiply
    21,594x = 29,792.46 × 17,608.20
  4. Step 4: Simplify right side
    21,594x = 524,591,594.17
  5. Step 5: Solve for x
    x = 524,591,594.17/21,594
  6. Step 6: Final answer
    x = 24,293.40

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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.