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Finding the Fourth Proportional to 16,484.76, 22,744.94 and 9,771.98

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Solution

The fourth proportional to 16,484.76, 22,744.94 and 9,771.98 is: 13,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.76 : 22,744.94 = 9,771.98 : x
  2. Step 2: Convert to fraction form
    16,484.76/22,744.94 = 9,771.98/x
  3. Step 3: Cross multiply
    16,484.76x = 22,744.94 × 9,771.98
  4. Step 4: Simplify right side
    16,484.76x = 222,262,936.20
  5. Step 5: Solve for x
    x = 222,262,936.20/16,484.76
  6. Step 6: Final answer
    x = 13,482.93

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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.