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Finding the Fourth Proportional to 19,459.94, 29,189.78 and 7,614.91

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Solution

The fourth proportional to 19,459.94, 29,189.78 and 7,614.91 is: 11,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.94 : 29,189.78 = 7,614.91 : x
  2. Step 2: Convert to fraction form
    19,459.94/29,189.78 = 7,614.91/x
  3. Step 3: Cross multiply
    19,459.94x = 29,189.78 × 7,614.91
  4. Step 4: Simplify right side
    19,459.94x = 222,277,547.62
  5. Step 5: Solve for x
    x = 222,277,547.62/19,459.94
  6. Step 6: Final answer
    x = 11,422.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.