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Finding the Fourth Proportional to 15,493.76, 21,380.78 and 8,420.02

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Solution

The fourth proportional to 15,493.76, 21,380.78 and 8,420.02 is: 11,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.76 : 21,380.78 = 8,420.02 : x
  2. Step 2: Convert to fraction form
    15,493.76/21,380.78 = 8,420.02/x
  3. Step 3: Cross multiply
    15,493.76x = 21,380.78 × 8,420.02
  4. Step 4: Simplify right side
    15,493.76x = 180,026,595.22
  5. Step 5: Solve for x
    x = 180,026,595.22/15,493.76
  6. Step 6: Final answer
    x = 11,619.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.