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Finding the Fourth Proportional to 24,646.48, 36,991.69 and 11,506.25

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Solution

The fourth proportional to 24,646.48, 36,991.69 and 11,506.25 is: 17,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.48 : 36,991.69 = 11,506.25 : x
  2. Step 2: Convert to fraction form
    24,646.48/36,991.69 = 11,506.25/x
  3. Step 3: Cross multiply
    24,646.48x = 36,991.69 × 11,506.25
  4. Step 4: Simplify right side
    24,646.48x = 425,635,696.78
  5. Step 5: Solve for x
    x = 425,635,696.78/24,646.48
  6. Step 6: Final answer
    x = 17,269.64

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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.