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Finding the Fourth Proportional to 21,841.32, 30,118.86 and 17,849.64

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Solution

The fourth proportional to 21,841.32, 30,118.86 and 17,849.64 is: 24,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.32 : 30,118.86 = 17,849.64 : x
  2. Step 2: Convert to fraction form
    21,841.32/30,118.86 = 17,849.64/x
  3. Step 3: Cross multiply
    21,841.32x = 30,118.86 × 17,849.64
  4. Step 4: Simplify right side
    21,841.32x = 537,610,808.21
  5. Step 5: Solve for x
    x = 537,610,808.21/21,841.32
  6. Step 6: Final answer
    x = 24,614.39

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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.