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Finding the Fourth Proportional to 13,971.60, 20,957.40 and 5,204.70

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Solution

The fourth proportional to 13,971.60, 20,957.40 and 5,204.70 is: 7,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.60 : 20,957.40 = 5,204.70 : x
  2. Step 2: Convert to fraction form
    13,971.60/20,957.40 = 5,204.70/x
  3. Step 3: Cross multiply
    13,971.60x = 20,957.40 × 5,204.70
  4. Step 4: Simplify right side
    13,971.60x = 109,076,979.78
  5. Step 5: Solve for x
    x = 109,076,979.78/13,971.60
  6. Step 6: Final answer
    x = 7,807.05

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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.