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Finding the Fourth Proportional to 24,421.88, 36,636.96 and 9,623

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Solution

The fourth proportional to 24,421.88, 36,636.96 and 9,623 is: 14,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.88 : 36,636.96 = 9,623 : x
  2. Step 2: Convert to fraction form
    24,421.88/36,636.96 = 9,623/x
  3. Step 3: Cross multiply
    24,421.88x = 36,636.96 × 9,623
  4. Step 4: Simplify right side
    24,421.88x = 352,557,466.08
  5. Step 5: Solve for x
    x = 352,557,466.08/24,421.88
  6. Step 6: Final answer
    x = 14,436.13

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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.