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Finding the Fourth Proportional to 19,892.44, 29,838.50 and 7,412.04

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Solution

The fourth proportional to 19,892.44, 29,838.50 and 7,412.04 is: 11,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.44 : 29,838.50 = 7,412.04 : x
  2. Step 2: Convert to fraction form
    19,892.44/29,838.50 = 7,412.04/x
  3. Step 3: Cross multiply
    19,892.44x = 29,838.50 × 7,412.04
  4. Step 4: Simplify right side
    19,892.44x = 221,164,155.54
  5. Step 5: Solve for x
    x = 221,164,155.54/19,892.44
  6. Step 6: Final answer
    x = 11,118.00

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Why These Related Problems?

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