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Finding the Fourth Proportional to 14,289.70, 19,719.57 and 8,002.30

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Solution

The fourth proportional to 14,289.70, 19,719.57 and 8,002.30 is: 11,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.70 : 19,719.57 = 8,002.30 : x
  2. Step 2: Convert to fraction form
    14,289.70/19,719.57 = 8,002.30/x
  3. Step 3: Cross multiply
    14,289.70x = 19,719.57 × 8,002.30
  4. Step 4: Simplify right side
    14,289.70x = 157,801,915.01
  5. Step 5: Solve for x
    x = 157,801,915.01/14,289.70
  6. Step 6: Final answer
    x = 11,043.05

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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.