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Finding the Fourth Proportional to 13,741.54, 18,970.33 and 8,710.90

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Solution

The fourth proportional to 13,741.54, 18,970.33 and 8,710.90 is: 12,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.54 : 18,970.33 = 8,710.90 : x
  2. Step 2: Convert to fraction form
    13,741.54/18,970.33 = 8,710.90/x
  3. Step 3: Cross multiply
    13,741.54x = 18,970.33 × 8,710.90
  4. Step 4: Simplify right side
    13,741.54x = 165,248,647.60
  5. Step 5: Solve for x
    x = 165,248,647.60/13,741.54
  6. Step 6: Final answer
    x = 12,025.48

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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.