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Finding the Fourth Proportional to 14,800.95, 20,423.46 and 8,428.38

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Solution

The fourth proportional to 14,800.95, 20,423.46 and 8,428.38 is: 11,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.95 : 20,423.46 = 8,428.38 : x
  2. Step 2: Convert to fraction form
    14,800.95/20,423.46 = 8,428.38/x
  3. Step 3: Cross multiply
    14,800.95x = 20,423.46 × 8,428.38
  4. Step 4: Simplify right side
    14,800.95x = 172,136,681.79
  5. Step 5: Solve for x
    x = 172,136,681.79/14,800.95
  6. Step 6: Final answer
    x = 11,630.11

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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.