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Finding the Fourth Proportional to 12,138.64, 16,709.22 and 10,465.58

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Solution

The fourth proportional to 12,138.64, 16,709.22 and 10,465.58 is: 14,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.64 : 16,709.22 = 10,465.58 : x
  2. Step 2: Convert to fraction form
    12,138.64/16,709.22 = 10,465.58/x
  3. Step 3: Cross multiply
    12,138.64x = 16,709.22 × 10,465.58
  4. Step 4: Simplify right side
    12,138.64x = 174,871,720.42
  5. Step 5: Solve for x
    x = 174,871,720.42/12,138.64
  6. Step 6: Final answer
    x = 14,406.21

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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.