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Finding the Fourth Proportional to 22,477.02, 31,011.42 and 13,043.76

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Solution

The fourth proportional to 22,477.02, 31,011.42 and 13,043.76 is: 17,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.02 : 31,011.42 = 13,043.76 : x
  2. Step 2: Convert to fraction form
    22,477.02/31,011.42 = 13,043.76/x
  3. Step 3: Cross multiply
    22,477.02x = 31,011.42 × 13,043.76
  4. Step 4: Simplify right side
    22,477.02x = 404,505,519.74
  5. Step 5: Solve for x
    x = 404,505,519.74/22,477.02
  6. Step 6: Final answer
    x = 17,996.40

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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.