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Finding the Fourth Proportional to 14,289.78, 19,720.29 and 8,002.56

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Solution

The fourth proportional to 14,289.78, 19,720.29 and 8,002.56 is: 11,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.78 : 19,720.29 = 8,002.56 : x
  2. Step 2: Convert to fraction form
    14,289.78/19,720.29 = 8,002.56/x
  3. Step 3: Cross multiply
    14,289.78x = 19,720.29 × 8,002.56
  4. Step 4: Simplify right side
    14,289.78x = 157,812,803.94
  5. Step 5: Solve for x
    x = 157,812,803.94/14,289.78
  6. Step 6: Final answer
    x = 11,043.75

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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.