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Finding the Fourth Proportional to 19,895.44, 29,843 and 7,415.04

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Solution

The fourth proportional to 19,895.44, 29,843 and 7,415.04 is: 11,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,895.44 : 29,843 = 7,415.04 : x
  2. Step 2: Convert to fraction form
    19,895.44/29,843 = 7,415.04/x
  3. Step 3: Cross multiply
    19,895.44x = 29,843 × 7,415.04
  4. Step 4: Simplify right side
    19,895.44x = 221,287,038.72
  5. Step 5: Solve for x
    x = 221,287,038.72/19,895.44
  6. Step 6: Final answer
    x = 11,122.50

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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.