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Finding the Fourth Proportional to 13,130.47, 19,686.99 and 6,882.94

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Solution

The fourth proportional to 13,130.47, 19,686.99 and 6,882.94 is: 10,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.47 : 19,686.99 = 6,882.94 : x
  2. Step 2: Convert to fraction form
    13,130.47/19,686.99 = 6,882.94/x
  3. Step 3: Cross multiply
    13,130.47x = 19,686.99 × 6,882.94
  4. Step 4: Simplify right side
    13,130.47x = 135,504,370.95
  5. Step 5: Solve for x
    x = 135,504,370.95/13,130.47
  6. Step 6: Final answer
    x = 10,319.84

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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.