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Finding the Fourth Proportional to 14,024.10, 21,007.80 and 8,742.90

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Solution

The fourth proportional to 14,024.10, 21,007.80 and 8,742.90 is: 13,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.10 : 21,007.80 = 8,742.90 : x
  2. Step 2: Convert to fraction form
    14,024.10/21,007.80 = 8,742.90/x
  3. Step 3: Cross multiply
    14,024.10x = 21,007.80 × 8,742.90
  4. Step 4: Simplify right side
    14,024.10x = 183,669,094.62
  5. Step 5: Solve for x
    x = 183,669,094.62/14,024.10
  6. Step 6: Final answer
    x = 13,096.68

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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.