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Finding the Fourth Proportional to 28,114.64, 38,797.05 and 16,178.40

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Solution

The fourth proportional to 28,114.64, 38,797.05 and 16,178.40 is: 22,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.64 : 38,797.05 = 16,178.40 : x
  2. Step 2: Convert to fraction form
    28,114.64/38,797.05 = 16,178.40/x
  3. Step 3: Cross multiply
    28,114.64x = 38,797.05 × 16,178.40
  4. Step 4: Simplify right side
    28,114.64x = 627,674,193.72
  5. Step 5: Solve for x
    x = 627,674,193.72/28,114.64
  6. Step 6: Final answer
    x = 22,325.53

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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.