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Finding the Fourth Proportional to 28,306.72, 42,465.20 and 11,657.67

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Solution

The fourth proportional to 28,306.72, 42,465.20 and 11,657.67 is: 17,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,306.72 : 42,465.20 = 11,657.67 : x
  2. Step 2: Convert to fraction form
    28,306.72/42,465.20 = 11,657.67/x
  3. Step 3: Cross multiply
    28,306.72x = 42,465.20 × 11,657.67
  4. Step 4: Simplify right side
    28,306.72x = 495,045,288.08
  5. Step 5: Solve for x
    x = 495,045,288.08/28,306.72
  6. Step 6: Final answer
    x = 17,488.61

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