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Finding the Fourth Proportional to 14,020.18, 19,347.51 and 7,732.42

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Solution

The fourth proportional to 14,020.18, 19,347.51 and 7,732.42 is: 10,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.18 : 19,347.51 = 7,732.42 : x
  2. Step 2: Convert to fraction form
    14,020.18/19,347.51 = 7,732.42/x
  3. Step 3: Cross multiply
    14,020.18x = 19,347.51 × 7,732.42
  4. Step 4: Simplify right side
    14,020.18x = 149,603,073.27
  5. Step 5: Solve for x
    x = 149,603,073.27/14,020.18
  6. Step 6: Final answer
    x = 10,670.55

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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.