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Finding the Fourth Proportional to 13,070.40, 19,605.60 and 4,865.60

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Solution

The fourth proportional to 13,070.40, 19,605.60 and 4,865.60 is: 7,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.40 : 19,605.60 = 4,865.60 : x
  2. Step 2: Convert to fraction form
    13,070.40/19,605.60 = 4,865.60/x
  3. Step 3: Cross multiply
    13,070.40x = 19,605.60 × 4,865.60
  4. Step 4: Simplify right side
    13,070.40x = 95,393,007.36
  5. Step 5: Solve for x
    x = 95,393,007.36/13,070.40
  6. Step 6: Final answer
    x = 7,298.40

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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.