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Finding the Fourth Proportional to 13,561.78, 20,340.62 and 4,678.50

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Solution

The fourth proportional to 13,561.78, 20,340.62 and 4,678.50 is: 7,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.78 : 20,340.62 = 4,678.50 : x
  2. Step 2: Convert to fraction form
    13,561.78/20,340.62 = 4,678.50/x
  3. Step 3: Cross multiply
    13,561.78x = 20,340.62 × 4,678.50
  4. Step 4: Simplify right side
    13,561.78x = 95,163,590.67
  5. Step 5: Solve for x
    x = 95,163,590.67/13,561.78
  6. Step 6: Final answer
    x = 7,017.04

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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.