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Finding the Fourth Proportional to 14,666.50, 21,999.15 and 5,306.74

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Solution

The fourth proportional to 14,666.50, 21,999.15 and 5,306.74 is: 7,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.50 : 21,999.15 = 5,306.74 : x
  2. Step 2: Convert to fraction form
    14,666.50/21,999.15 = 5,306.74/x
  3. Step 3: Cross multiply
    14,666.50x = 21,999.15 × 5,306.74
  4. Step 4: Simplify right side
    14,666.50x = 116,743,769.27
  5. Step 5: Solve for x
    x = 116,743,769.27/14,666.50
  6. Step 6: Final answer
    x = 7,959.89

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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.