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Finding the Fourth Proportional to 13,302.09, 19,964.07 and 6,730.16

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Solution

The fourth proportional to 13,302.09, 19,964.07 and 6,730.16 is: 10,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.09 : 19,964.07 = 6,730.16 : x
  2. Step 2: Convert to fraction form
    13,302.09/19,964.07 = 6,730.16/x
  3. Step 3: Cross multiply
    13,302.09x = 19,964.07 × 6,730.16
  4. Step 4: Simplify right side
    13,302.09x = 134,361,285.53
  5. Step 5: Solve for x
    x = 134,361,285.53/13,302.09
  6. Step 6: Final answer
    x = 10,100.77

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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.