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Finding the Fourth Proportional to 13,049.34, 19,573.98 and 6,480.14

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Solution

The fourth proportional to 13,049.34, 19,573.98 and 6,480.14 is: 9,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.34 : 19,573.98 = 6,480.14 : x
  2. Step 2: Convert to fraction form
    13,049.34/19,573.98 = 6,480.14/x
  3. Step 3: Cross multiply
    13,049.34x = 19,573.98 × 6,480.14
  4. Step 4: Simplify right side
    13,049.34x = 126,842,032.89
  5. Step 5: Solve for x
    x = 126,842,032.89/13,049.34
  6. Step 6: Final answer
    x = 9,720.19

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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.