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Finding the Fourth Proportional to 14,402.50, 19,876.47 and 8,114.88

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Solution

The fourth proportional to 14,402.50, 19,876.47 and 8,114.88 is: 11,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.50 : 19,876.47 = 8,114.88 : x
  2. Step 2: Convert to fraction form
    14,402.50/19,876.47 = 8,114.88/x
  3. Step 3: Cross multiply
    14,402.50x = 19,876.47 × 8,114.88
  4. Step 4: Simplify right side
    14,402.50x = 161,295,168.87
  5. Step 5: Solve for x
    x = 161,295,168.87/14,402.50
  6. Step 6: Final answer
    x = 11,199.11

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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.