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Finding the Fourth Proportional to 13,285.30, 19,929.39 and 4,969.30

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Solution

The fourth proportional to 13,285.30, 19,929.39 and 4,969.30 is: 7,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.30 : 19,929.39 = 4,969.30 : x
  2. Step 2: Convert to fraction form
    13,285.30/19,929.39 = 4,969.30/x
  3. Step 3: Cross multiply
    13,285.30x = 19,929.39 × 4,969.30
  4. Step 4: Simplify right side
    13,285.30x = 99,035,117.73
  5. Step 5: Solve for x
    x = 99,035,117.73/13,285.30
  6. Step 6: Final answer
    x = 7,454.49

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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.