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Finding the Fourth Proportional to 22,972.97, 31,714.73 and 15,458.81

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Solution

The fourth proportional to 22,972.97, 31,714.73 and 15,458.81 is: 21,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.97 : 31,714.73 = 15,458.81 : x
  2. Step 2: Convert to fraction form
    22,972.97/31,714.73 = 15,458.81/x
  3. Step 3: Cross multiply
    22,972.97x = 31,714.73 × 15,458.81
  4. Step 4: Simplify right side
    22,972.97x = 490,271,865.34
  5. Step 5: Solve for x
    x = 490,271,865.34/22,972.97
  6. Step 6: Final answer
    x = 21,341.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.