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Finding the Fourth Proportional to 15,056.04, 20,775.68 and 8,340

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Solution

The fourth proportional to 15,056.04, 20,775.68 and 8,340 is: 11,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.04 : 20,775.68 = 8,340 : x
  2. Step 2: Convert to fraction form
    15,056.04/20,775.68 = 8,340/x
  3. Step 3: Cross multiply
    15,056.04x = 20,775.68 × 8,340
  4. Step 4: Simplify right side
    15,056.04x = 173,269,171.20
  5. Step 5: Solve for x
    x = 173,269,171.20/15,056.04
  6. Step 6: Final answer
    x = 11,508.28

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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.