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Finding the Fourth Proportional to 23,604.76, 32,569.34 and 13,663

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Solution

The fourth proportional to 23,604.76, 32,569.34 and 13,663 is: 18,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.76 : 32,569.34 = 13,663 : x
  2. Step 2: Convert to fraction form
    23,604.76/32,569.34 = 13,663/x
  3. Step 3: Cross multiply
    23,604.76x = 32,569.34 × 13,663
  4. Step 4: Simplify right side
    23,604.76x = 444,994,892.42
  5. Step 5: Solve for x
    x = 444,994,892.42/23,604.76
  6. Step 6: Final answer
    x = 18,851.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.