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Finding the Fourth Proportional to 13,671.48, 20,509.94 and 4,312.94

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Solution

The fourth proportional to 13,671.48, 20,509.94 and 4,312.94 is: 6,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.48 : 20,509.94 = 4,312.94 : x
  2. Step 2: Convert to fraction form
    13,671.48/20,509.94 = 4,312.94/x
  3. Step 3: Cross multiply
    13,671.48x = 20,509.94 × 4,312.94
  4. Step 4: Simplify right side
    13,671.48x = 88,458,140.62
  5. Step 5: Solve for x
    x = 88,458,140.62/13,671.48
  6. Step 6: Final answer
    x = 6,470.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.