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Finding the Fourth Proportional to 14,745.08, 20,348.46 and 8,030.84

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Solution

The fourth proportional to 14,745.08, 20,348.46 and 8,030.84 is: 11,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.08 : 20,348.46 = 8,030.84 : x
  2. Step 2: Convert to fraction form
    14,745.08/20,348.46 = 8,030.84/x
  3. Step 3: Cross multiply
    14,745.08x = 20,348.46 × 8,030.84
  4. Step 4: Simplify right side
    14,745.08x = 163,415,277.38
  5. Step 5: Solve for x
    x = 163,415,277.38/14,745.08
  6. Step 6: Final answer
    x = 11,082.70

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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.