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Finding the Fourth Proportional to 14,020.29, 19,347.93 and 7,732.67

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Solution

The fourth proportional to 14,020.29, 19,347.93 and 7,732.67 is: 10,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.29 : 19,347.93 = 7,732.67 : x
  2. Step 2: Convert to fraction form
    14,020.29/19,347.93 = 7,732.67/x
  3. Step 3: Cross multiply
    14,020.29x = 19,347.93 × 7,732.67
  4. Step 4: Simplify right side
    14,020.29x = 149,611,061.13
  5. Step 5: Solve for x
    x = 149,611,061.13/14,020.29
  6. Step 6: Final answer
    x = 10,671.04

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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.