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Finding the Fourth Proportional to 19,964.40, 29,946.60 and 13,743.60

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Solution

The fourth proportional to 19,964.40, 29,946.60 and 13,743.60 is: 20,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.40 : 29,946.60 = 13,743.60 : x
  2. Step 2: Convert to fraction form
    19,964.40/29,946.60 = 13,743.60/x
  3. Step 3: Cross multiply
    19,964.40x = 29,946.60 × 13,743.60
  4. Step 4: Simplify right side
    19,964.40x = 411,574,091.76
  5. Step 5: Solve for x
    x = 411,574,091.76/19,964.40
  6. Step 6: Final answer
    x = 20,615.40

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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.