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Finding the Fourth Proportional to 13,466.68, 20,209.24 and 4,701.59

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Solution

The fourth proportional to 13,466.68, 20,209.24 and 4,701.59 is: 7,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.68 : 20,209.24 = 4,701.59 : x
  2. Step 2: Convert to fraction form
    13,466.68/20,209.24 = 4,701.59/x
  3. Step 3: Cross multiply
    13,466.68x = 20,209.24 × 4,701.59
  4. Step 4: Simplify right side
    13,466.68x = 95,015,541.31
  5. Step 5: Solve for x
    x = 95,015,541.31/13,466.68
  6. Step 6: Final answer
    x = 7,055.60

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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.