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Finding the Fourth Proportional to 14,949.96, 20,632.68 and 9,283.20

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Solution

The fourth proportional to 14,949.96, 20,632.68 and 9,283.20 is: 12,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949.96 : 20,632.68 = 9,283.20 : x
  2. Step 2: Convert to fraction form
    14,949.96/20,632.68 = 9,283.20/x
  3. Step 3: Cross multiply
    14,949.96x = 20,632.68 × 9,283.20
  4. Step 4: Simplify right side
    14,949.96x = 191,537,294.98
  5. Step 5: Solve for x
    x = 191,537,294.98/14,949.96
  6. Step 6: Final answer
    x = 12,811.89

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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.