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Finding the Fourth Proportional to 14,024.30, 21,007.65 and 7,102.70

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Solution

The fourth proportional to 14,024.30, 21,007.65 and 7,102.70 is: 10,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.30 : 21,007.65 = 7,102.70 : x
  2. Step 2: Convert to fraction form
    14,024.30/21,007.65 = 7,102.70/x
  3. Step 3: Cross multiply
    14,024.30x = 21,007.65 × 7,102.70
  4. Step 4: Simplify right side
    14,024.30x = 149,211,035.66
  5. Step 5: Solve for x
    x = 149,211,035.66/14,024.30
  6. Step 6: Final answer
    x = 10,639.46

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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.