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Finding the Fourth Proportional to 19,678.68, 27,164.16 and 14,415.30

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Solution

The fourth proportional to 19,678.68, 27,164.16 and 14,415.30 is: 19,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.68 : 27,164.16 = 14,415.30 : x
  2. Step 2: Convert to fraction form
    19,678.68/27,164.16 = 14,415.30/x
  3. Step 3: Cross multiply
    19,678.68x = 27,164.16 × 14,415.30
  4. Step 4: Simplify right side
    19,678.68x = 391,579,515.65
  5. Step 5: Solve for x
    x = 391,579,515.65/19,678.68
  6. Step 6: Final answer
    x = 19,898.67

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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.