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Finding the Fourth Proportional to 16,487.98, 22,753.54 and 9,777

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Solution

The fourth proportional to 16,487.98, 22,753.54 and 9,777 is: 13,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.98 : 22,753.54 = 9,777 : x
  2. Step 2: Convert to fraction form
    16,487.98/22,753.54 = 9,777/x
  3. Step 3: Cross multiply
    16,487.98x = 22,753.54 × 9,777
  4. Step 4: Simplify right side
    16,487.98x = 222,461,360.58
  5. Step 5: Solve for x
    x = 222,461,360.58/16,487.98
  6. Step 6: Final answer
    x = 13,492.34

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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.