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Finding the Fourth Proportional to 13,435.68, 20,153.98 and 5,114.45

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Solution

The fourth proportional to 13,435.68, 20,153.98 and 5,114.45 is: 7,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.68 : 20,153.98 = 5,114.45 : x
  2. Step 2: Convert to fraction form
    13,435.68/20,153.98 = 5,114.45/x
  3. Step 3: Cross multiply
    13,435.68x = 20,153.98 × 5,114.45
  4. Step 4: Simplify right side
    13,435.68x = 103,076,579.79
  5. Step 5: Solve for x
    x = 103,076,579.79/13,435.68
  6. Step 6: Final answer
    x = 7,671.85

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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.