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Finding the Fourth Proportional to 16,129.94, 22,261.53 and 9,056.81

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Solution

The fourth proportional to 16,129.94, 22,261.53 and 9,056.81 is: 12,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.94 : 22,261.53 = 9,056.81 : x
  2. Step 2: Convert to fraction form
    16,129.94/22,261.53 = 9,056.81/x
  3. Step 3: Cross multiply
    16,129.94x = 22,261.53 × 9,056.81
  4. Step 4: Simplify right side
    16,129.94x = 201,618,537.14
  5. Step 5: Solve for x
    x = 201,618,537.14/16,129.94
  6. Step 6: Final answer
    x = 12,499.65

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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.