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Finding the Fourth Proportional to 16,129.87, 22,258.64 and 9,056.59

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Solution

The fourth proportional to 16,129.87, 22,258.64 and 9,056.59 is: 12,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.87 : 22,258.64 = 9,056.59 : x
  2. Step 2: Convert to fraction form
    16,129.87/22,258.64 = 9,056.59/x
  3. Step 3: Cross multiply
    16,129.87x = 22,258.64 × 9,056.59
  4. Step 4: Simplify right side
    16,129.87x = 201,587,265.14
  5. Step 5: Solve for x
    x = 201,587,265.14/16,129.87
  6. Step 6: Final answer
    x = 12,497.77

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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.