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Finding the Fourth Proportional to 13,666.16, 20,482.78 and 5,765.63

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Solution

The fourth proportional to 13,666.16, 20,482.78 and 5,765.63 is: 8,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.16 : 20,482.78 = 5,765.63 : x
  2. Step 2: Convert to fraction form
    13,666.16/20,482.78 = 5,765.63/x
  3. Step 3: Cross multiply
    13,666.16x = 20,482.78 × 5,765.63
  4. Step 4: Simplify right side
    13,666.16x = 118,096,130.85
  5. Step 5: Solve for x
    x = 118,096,130.85/13,666.16
  6. Step 6: Final answer
    x = 8,641.50

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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.