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Finding the Fourth Proportional to 14,097.42, 19,436 and 12,129.12

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Solution

The fourth proportional to 14,097.42, 19,436 and 12,129.12 is: 16,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.42 : 19,436 = 12,129.12 : x
  2. Step 2: Convert to fraction form
    14,097.42/19,436 = 12,129.12/x
  3. Step 3: Cross multiply
    14,097.42x = 19,436 × 12,129.12
  4. Step 4: Simplify right side
    14,097.42x = 235,741,576.32
  5. Step 5: Solve for x
    x = 235,741,576.32/14,097.42
  6. Step 6: Final answer
    x = 16,722.32

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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.