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Finding the Fourth Proportional to 24,526.33, 36,783.42 and 6,996.31

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Solution

The fourth proportional to 24,526.33, 36,783.42 and 6,996.31 is: 10,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,526.33 : 36,783.42 = 6,996.31 : x
  2. Step 2: Convert to fraction form
    24,526.33/36,783.42 = 6,996.31/x
  3. Step 3: Cross multiply
    24,526.33x = 36,783.42 × 6,996.31
  4. Step 4: Simplify right side
    24,526.33x = 257,348,209.18
  5. Step 5: Solve for x
    x = 257,348,209.18/24,526.33
  6. Step 6: Final answer
    x = 10,492.73

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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.