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Finding the Fourth Proportional to 14,038.70, 19,394.54 and 9,204.91

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Solution

The fourth proportional to 14,038.70, 19,394.54 and 9,204.91 is: 12,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.70 : 19,394.54 = 9,204.91 : x
  2. Step 2: Convert to fraction form
    14,038.70/19,394.54 = 9,204.91/x
  3. Step 3: Cross multiply
    14,038.70x = 19,394.54 × 9,204.91
  4. Step 4: Simplify right side
    14,038.70x = 178,524,935.20
  5. Step 5: Solve for x
    x = 178,524,935.20/14,038.70
  6. Step 6: Final answer
    x = 12,716.63

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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.