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Finding the Fourth Proportional to 14,810.22, 20,437.11 and 8,436

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Solution

The fourth proportional to 14,810.22, 20,437.11 and 8,436 is: 11,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,810.22 : 20,437.11 = 8,436 : x
  2. Step 2: Convert to fraction form
    14,810.22/20,437.11 = 8,436/x
  3. Step 3: Cross multiply
    14,810.22x = 20,437.11 × 8,436
  4. Step 4: Simplify right side
    14,810.22x = 172,407,459.96
  5. Step 5: Solve for x
    x = 172,407,459.96/14,810.22
  6. Step 6: Final answer
    x = 11,641.11

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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.