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Finding the Fourth Proportional to 14,534.74, 21,800.02 and 4,672.74

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Solution

The fourth proportional to 14,534.74, 21,800.02 and 4,672.74 is: 7,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.74 : 21,800.02 = 4,672.74 : x
  2. Step 2: Convert to fraction form
    14,534.74/21,800.02 = 4,672.74/x
  3. Step 3: Cross multiply
    14,534.74x = 21,800.02 × 4,672.74
  4. Step 4: Simplify right side
    14,534.74x = 101,865,825.45
  5. Step 5: Solve for x
    x = 101,865,825.45/14,534.74
  6. Step 6: Final answer
    x = 7,008.44

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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.