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Finding the Fourth Proportional to 21,199.47, 31,802.45 and 6,963.47

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Solution

The fourth proportional to 21,199.47, 31,802.45 and 6,963.47 is: 10,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.47 : 31,802.45 = 6,963.47 : x
  2. Step 2: Convert to fraction form
    21,199.47/31,802.45 = 6,963.47/x
  3. Step 3: Cross multiply
    21,199.47x = 31,802.45 × 6,963.47
  4. Step 4: Simplify right side
    21,199.47x = 221,455,331.93
  5. Step 5: Solve for x
    x = 221,455,331.93/21,199.47
  6. Step 6: Final answer
    x = 10,446.27

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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.