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Finding the Fourth Proportional to 14,107.77, 19,469.61 and 7,820.55

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Solution

The fourth proportional to 14,107.77, 19,469.61 and 7,820.55 is: 10,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.77 : 19,469.61 = 7,820.55 : x
  2. Step 2: Convert to fraction form
    14,107.77/19,469.61 = 7,820.55/x
  3. Step 3: Cross multiply
    14,107.77x = 19,469.61 × 7,820.55
  4. Step 4: Simplify right side
    14,107.77x = 152,263,058.49
  5. Step 5: Solve for x
    x = 152,263,058.49/14,107.77
  6. Step 6: Final answer
    x = 10,792.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.