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Finding the Fourth Proportional to 21,411.73, 32,117.73 and 5,829.49

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Solution

The fourth proportional to 21,411.73, 32,117.73 and 5,829.49 is: 8,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.73 : 32,117.73 = 5,829.49 : x
  2. Step 2: Convert to fraction form
    21,411.73/32,117.73 = 5,829.49/x
  3. Step 3: Cross multiply
    21,411.73x = 32,117.73 × 5,829.49
  4. Step 4: Simplify right side
    21,411.73x = 187,229,985.86
  5. Step 5: Solve for x
    x = 187,229,985.86/21,411.73
  6. Step 6: Final answer
    x = 8,744.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.