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Finding the Fourth Proportional to 13,023.84, 19,539 and 5,126.88

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Solution

The fourth proportional to 13,023.84, 19,539 and 5,126.88 is: 7,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.84 : 19,539 = 5,126.88 : x
  2. Step 2: Convert to fraction form
    13,023.84/19,539 = 5,126.88/x
  3. Step 3: Cross multiply
    13,023.84x = 19,539 × 5,126.88
  4. Step 4: Simplify right side
    13,023.84x = 100,174,108.32
  5. Step 5: Solve for x
    x = 100,174,108.32/13,023.84
  6. Step 6: Final answer
    x = 7,691.60

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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.