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Finding the Fourth Proportional to 14,561.40, 21,830.76 and 6,769.20

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Solution

The fourth proportional to 14,561.40, 21,830.76 and 6,769.20 is: 10,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.40 : 21,830.76 = 6,769.20 : x
  2. Step 2: Convert to fraction form
    14,561.40/21,830.76 = 6,769.20/x
  3. Step 3: Cross multiply
    14,561.40x = 21,830.76 × 6,769.20
  4. Step 4: Simplify right side
    14,561.40x = 147,776,780.59
  5. Step 5: Solve for x
    x = 147,776,780.59/14,561.40
  6. Step 6: Final answer
    x = 10,148.53

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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.