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Finding the Fourth Proportional to 14,978.16, 22,465.28 and 4,447.97

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Solution

The fourth proportional to 14,978.16, 22,465.28 and 4,447.97 is: 6,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.16 : 22,465.28 = 4,447.97 : x
  2. Step 2: Convert to fraction form
    14,978.16/22,465.28 = 4,447.97/x
  3. Step 3: Cross multiply
    14,978.16x = 22,465.28 × 4,447.97
  4. Step 4: Simplify right side
    14,978.16x = 99,924,790.28
  5. Step 5: Solve for x
    x = 99,924,790.28/14,978.16
  6. Step 6: Final answer
    x = 6,671.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.