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Finding the Fourth Proportional to 14,307.96, 19,724.82 and 12,339.48

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Solution

The fourth proportional to 14,307.96, 19,724.82 and 12,339.48 is: 17,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.96 : 19,724.82 = 12,339.48 : x
  2. Step 2: Convert to fraction form
    14,307.96/19,724.82 = 12,339.48/x
  3. Step 3: Cross multiply
    14,307.96x = 19,724.82 × 12,339.48
  4. Step 4: Simplify right side
    14,307.96x = 243,394,021.89
  5. Step 5: Solve for x
    x = 243,394,021.89/14,307.96
  6. Step 6: Final answer
    x = 17,011.09

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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.