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Finding the Fourth Proportional to 21,411.58, 32,069.84 and 16,444.66

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Solution

The fourth proportional to 21,411.58, 32,069.84 and 16,444.66 is: 24,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.58 : 32,069.84 = 16,444.66 : x
  2. Step 2: Convert to fraction form
    21,411.58/32,069.84 = 16,444.66/x
  3. Step 3: Cross multiply
    21,411.58x = 32,069.84 × 16,444.66
  4. Step 4: Simplify right side
    21,411.58x = 527,377,615.05
  5. Step 5: Solve for x
    x = 527,377,615.05/21,411.58
  6. Step 6: Final answer
    x = 24,630.49

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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.