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Finding the Fourth Proportional to 16,497.60, 22,765.68 and 9,783.84

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Solution

The fourth proportional to 16,497.60, 22,765.68 and 9,783.84 is: 13,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.60 : 22,765.68 = 9,783.84 : x
  2. Step 2: Convert to fraction form
    16,497.60/22,765.68 = 9,783.84/x
  3. Step 3: Cross multiply
    16,497.60x = 22,765.68 × 9,783.84
  4. Step 4: Simplify right side
    16,497.60x = 222,735,770.61
  5. Step 5: Solve for x
    x = 222,735,770.61/16,497.60
  6. Step 6: Final answer
    x = 13,501.10

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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.