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Finding the Fourth Proportional to 14,211.30, 21,302.55 and 8,364.90

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Solution

The fourth proportional to 14,211.30, 21,302.55 and 8,364.90 is: 12,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.30 : 21,302.55 = 8,364.90 : x
  2. Step 2: Convert to fraction form
    14,211.30/21,302.55 = 8,364.90/x
  3. Step 3: Cross multiply
    14,211.30x = 21,302.55 × 8,364.90
  4. Step 4: Simplify right side
    14,211.30x = 178,193,700.50
  5. Step 5: Solve for x
    x = 178,193,700.50/14,211.30
  6. Step 6: Final answer
    x = 12,538.87

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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.