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Finding the Fourth Proportional to 13,783.41, 20,671.79 and 4,421.66

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Solution

The fourth proportional to 13,783.41, 20,671.79 and 4,421.66 is: 6,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.41 : 20,671.79 = 4,421.66 : x
  2. Step 2: Convert to fraction form
    13,783.41/20,671.79 = 4,421.66/x
  3. Step 3: Cross multiply
    13,783.41x = 20,671.79 × 4,421.66
  4. Step 4: Simplify right side
    13,783.41x = 91,403,501.50
  5. Step 5: Solve for x
    x = 91,403,501.50/13,783.41
  6. Step 6: Final answer
    x = 6,631.41

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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.