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Finding the Fourth Proportional to 15,511.40, 21,405.48 and 8,438

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Solution

The fourth proportional to 15,511.40, 21,405.48 and 8,438 is: 11,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.40 : 21,405.48 = 8,438 : x
  2. Step 2: Convert to fraction form
    15,511.40/21,405.48 = 8,438/x
  3. Step 3: Cross multiply
    15,511.40x = 21,405.48 × 8,438
  4. Step 4: Simplify right side
    15,511.40x = 180,619,440.24
  5. Step 5: Solve for x
    x = 180,619,440.24/15,511.40
  6. Step 6: Final answer
    x = 11,644.30

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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.