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Finding the Fourth Proportional to 13,745.90, 18,957.65 and 9,263.77

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Solution

The fourth proportional to 13,745.90, 18,957.65 and 9,263.77 is: 12,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.90 : 18,957.65 = 9,263.77 : x
  2. Step 2: Convert to fraction form
    13,745.90/18,957.65 = 9,263.77/x
  3. Step 3: Cross multiply
    13,745.90x = 18,957.65 × 9,263.77
  4. Step 4: Simplify right side
    13,745.90x = 175,619,215.63
  5. Step 5: Solve for x
    x = 175,619,215.63/13,745.90
  6. Step 6: Final answer
    x = 12,776.11

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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.