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Finding the Fourth Proportional to 14,978.34, 20,671.38 and 8,264.16

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Solution

The fourth proportional to 14,978.34, 20,671.38 and 8,264.16 is: 11,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.34 : 20,671.38 = 8,264.16 : x
  2. Step 2: Convert to fraction form
    14,978.34/20,671.38 = 8,264.16/x
  3. Step 3: Cross multiply
    14,978.34x = 20,671.38 × 8,264.16
  4. Step 4: Simplify right side
    14,978.34x = 170,831,591.74
  5. Step 5: Solve for x
    x = 170,831,591.74/14,978.34
  6. Step 6: Final answer
    x = 11,405.24

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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.