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Finding the Fourth Proportional to 24,427.33, 36,616.23 and 9,646.66

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Solution

The fourth proportional to 24,427.33, 36,616.23 and 9,646.66 is: 14,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.33 : 36,616.23 = 9,646.66 : x
  2. Step 2: Convert to fraction form
    24,427.33/36,616.23 = 9,646.66/x
  3. Step 3: Cross multiply
    24,427.33x = 36,616.23 × 9,646.66
  4. Step 4: Simplify right side
    24,427.33x = 353,224,321.29
  5. Step 5: Solve for x
    x = 353,224,321.29/24,427.33
  6. Step 6: Final answer
    x = 14,460.21

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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.