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Finding the Fourth Proportional to 14,259.79, 19,678.64 and 7,886.81

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Solution

The fourth proportional to 14,259.79, 19,678.64 and 7,886.81 is: 10,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.79 : 19,678.64 = 7,886.81 : x
  2. Step 2: Convert to fraction form
    14,259.79/19,678.64 = 7,886.81/x
  3. Step 3: Cross multiply
    14,259.79x = 19,678.64 × 7,886.81
  4. Step 4: Simplify right side
    14,259.79x = 155,201,694.74
  5. Step 5: Solve for x
    x = 155,201,694.74/14,259.79
  6. Step 6: Final answer
    x = 10,883.87

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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.