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Finding the Fourth Proportional to 13,174, 19,769.60 and 4,854.10

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Solution

The fourth proportional to 13,174, 19,769.60 and 4,854.10 is: 7,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174 : 19,769.60 = 4,854.10 : x
  2. Step 2: Convert to fraction form
    13,174/19,769.60 = 4,854.10/x
  3. Step 3: Cross multiply
    13,174x = 19,769.60 × 4,854.10
  4. Step 4: Simplify right side
    13,174x = 95,963,615.36
  5. Step 5: Solve for x
    x = 95,963,615.36/13,174
  6. Step 6: Final answer
    x = 7,284.32

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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.