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Finding the Fourth Proportional to 14,259.83, 19,678.70 and 7,886.09

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Solution

The fourth proportional to 14,259.83, 19,678.70 and 7,886.09 is: 10,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.83 : 19,678.70 = 7,886.09 : x
  2. Step 2: Convert to fraction form
    14,259.83/19,678.70 = 7,886.09/x
  3. Step 3: Cross multiply
    14,259.83x = 19,678.70 × 7,886.09
  4. Step 4: Simplify right side
    14,259.83x = 155,188,023.84
  5. Step 5: Solve for x
    x = 155,188,023.84/14,259.83
  6. Step 6: Final answer
    x = 10,882.88

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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.