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Finding the Fourth Proportional to 14,745.50, 20,348.38 and 8,030.98

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Solution

The fourth proportional to 14,745.50, 20,348.38 and 8,030.98 is: 11,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.50 : 20,348.38 = 8,030.98 : x
  2. Step 2: Convert to fraction form
    14,745.50/20,348.38 = 8,030.98/x
  3. Step 3: Cross multiply
    14,745.50x = 20,348.38 × 8,030.98
  4. Step 4: Simplify right side
    14,745.50x = 163,417,432.81
  5. Step 5: Solve for x
    x = 163,417,432.81/14,745.50
  6. Step 6: Final answer
    x = 11,082.53

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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.