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Finding the Fourth Proportional to 13,505.64, 20,263.32 and 9,801.60

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Solution

The fourth proportional to 13,505.64, 20,263.32 and 9,801.60 is: 14,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.64 : 20,263.32 = 9,801.60 : x
  2. Step 2: Convert to fraction form
    13,505.64/20,263.32 = 9,801.60/x
  3. Step 3: Cross multiply
    13,505.64x = 20,263.32 × 9,801.60
  4. Step 4: Simplify right side
    13,505.64x = 198,612,957.31
  5. Step 5: Solve for x
    x = 198,612,957.31/13,505.64
  6. Step 6: Final answer
    x = 14,705.93

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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.