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Finding the Fourth Proportional to 14,684.64, 20,264.83 and 7,970.27

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Solution

The fourth proportional to 14,684.64, 20,264.83 and 7,970.27 is: 10,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.64 : 20,264.83 = 7,970.27 : x
  2. Step 2: Convert to fraction form
    14,684.64/20,264.83 = 7,970.27/x
  3. Step 3: Cross multiply
    14,684.64x = 20,264.83 × 7,970.27
  4. Step 4: Simplify right side
    14,684.64x = 161,516,102.35
  5. Step 5: Solve for x
    x = 161,516,102.35/14,684.64
  6. Step 6: Final answer
    x = 10,998.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.