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Finding the Fourth Proportional to 14,491.80, 21,646.08 and 11,561.76

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Solution

The fourth proportional to 14,491.80, 21,646.08 and 11,561.76 is: 17,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.80 : 21,646.08 = 11,561.76 : x
  2. Step 2: Convert to fraction form
    14,491.80/21,646.08 = 11,561.76/x
  3. Step 3: Cross multiply
    14,491.80x = 21,646.08 × 11,561.76
  4. Step 4: Simplify right side
    14,491.80x = 250,266,781.90
  5. Step 5: Solve for x
    x = 250,266,781.90/14,491.80
  6. Step 6: Final answer
    x = 17,269.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.