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Finding the Fourth Proportional to 14,007.63, 19,337.64 and 9,230.71

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Solution

The fourth proportional to 14,007.63, 19,337.64 and 9,230.71 is: 12,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.63 : 19,337.64 = 9,230.71 : x
  2. Step 2: Convert to fraction form
    14,007.63/19,337.64 = 9,230.71/x
  3. Step 3: Cross multiply
    14,007.63x = 19,337.64 × 9,230.71
  4. Step 4: Simplify right side
    14,007.63x = 178,500,100.22
  5. Step 5: Solve for x
    x = 178,500,100.22/14,007.63
  6. Step 6: Final answer
    x = 12,743.06

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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.