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Finding the Fourth Proportional to 15,427.68, 21,290.20 and 8,354.10

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Solution

The fourth proportional to 15,427.68, 21,290.20 and 8,354.10 is: 11,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427.68 : 21,290.20 = 8,354.10 : x
  2. Step 2: Convert to fraction form
    15,427.68/21,290.20 = 8,354.10/x
  3. Step 3: Cross multiply
    15,427.68x = 21,290.20 × 8,354.10
  4. Step 4: Simplify right side
    15,427.68x = 177,860,459.82
  5. Step 5: Solve for x
    x = 177,860,459.82/15,427.68
  6. Step 6: Final answer
    x = 11,528.66

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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.