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Finding the Fourth Proportional to 21,192.12, 31,802.58 and 7,341

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Solution

The fourth proportional to 21,192.12, 31,802.58 and 7,341 is: 11,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.12 : 31,802.58 = 7,341 : x
  2. Step 2: Convert to fraction form
    21,192.12/31,802.58 = 7,341/x
  3. Step 3: Cross multiply
    21,192.12x = 31,802.58 × 7,341
  4. Step 4: Simplify right side
    21,192.12x = 233,462,739.78
  5. Step 5: Solve for x
    x = 233,462,739.78/21,192.12
  6. Step 6: Final answer
    x = 11,016.49

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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.