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Finding the Fourth Proportional to 13,875.45, 20,780.07 and 8,014.29

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Solution

The fourth proportional to 13,875.45, 20,780.07 and 8,014.29 is: 12,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.45 : 20,780.07 = 8,014.29 : x
  2. Step 2: Convert to fraction form
    13,875.45/20,780.07 = 8,014.29/x
  3. Step 3: Cross multiply
    13,875.45x = 20,780.07 × 8,014.29
  4. Step 4: Simplify right side
    13,875.45x = 166,537,507.20
  5. Step 5: Solve for x
    x = 166,537,507.20/13,875.45
  6. Step 6: Final answer
    x = 12,002.31

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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.