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Finding the Fourth Proportional to 14,178.89, 19,567.64 and 7,891.40

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Solution

The fourth proportional to 14,178.89, 19,567.64 and 7,891.40 is: 10,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.89 : 19,567.64 = 7,891.40 : x
  2. Step 2: Convert to fraction form
    14,178.89/19,567.64 = 7,891.40/x
  3. Step 3: Cross multiply
    14,178.89x = 19,567.64 × 7,891.40
  4. Step 4: Simplify right side
    14,178.89x = 154,416,034.84
  5. Step 5: Solve for x
    x = 154,416,034.84/14,178.89
  6. Step 6: Final answer
    x = 10,890.56

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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.