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Finding the Fourth Proportional to 13,123.89, 19,678.55 and 4,354.02

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Solution

The fourth proportional to 13,123.89, 19,678.55 and 4,354.02 is: 6,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.89 : 19,678.55 = 4,354.02 : x
  2. Step 2: Convert to fraction form
    13,123.89/19,678.55 = 4,354.02/x
  3. Step 3: Cross multiply
    13,123.89x = 19,678.55 × 4,354.02
  4. Step 4: Simplify right side
    13,123.89x = 85,680,778.50
  5. Step 5: Solve for x
    x = 85,680,778.50/13,123.89
  6. Step 6: Final answer
    x = 6,528.61

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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.