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Finding the Fourth Proportional to 19,893, 29,840.70 and 6,042.12

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Solution

The fourth proportional to 19,893, 29,840.70 and 6,042.12 is: 9,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893 : 29,840.70 = 6,042.12 : x
  2. Step 2: Convert to fraction form
    19,893/29,840.70 = 6,042.12/x
  3. Step 3: Cross multiply
    19,893x = 29,840.70 × 6,042.12
  4. Step 4: Simplify right side
    19,893x = 180,301,090.28
  5. Step 5: Solve for x
    x = 180,301,090.28/19,893
  6. Step 6: Final answer
    x = 9,063.54

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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.