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Finding the Fourth Proportional to 13,076, 19,614 and 3,842

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Solution

The fourth proportional to 13,076, 19,614 and 3,842 is: 5,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076 : 19,614 = 3,842 : x
  2. Step 2: Convert to fraction form
    13,076/19,614 = 3,842/x
  3. Step 3: Cross multiply
    13,076x = 19,614 × 3,842
  4. Step 4: Simplify right side
    13,076x = 75,356,988
  5. Step 5: Solve for x
    x = 75,356,988/13,076
  6. Step 6: Final answer
    x = 5,763

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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.