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Finding the Fourth Proportional to 22,855.01, 31,542.83 and 12,784.01

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Solution

The fourth proportional to 22,855.01, 31,542.83 and 12,784.01 is: 17,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.01 : 31,542.83 = 12,784.01 : x
  2. Step 2: Convert to fraction form
    22,855.01/31,542.83 = 12,784.01/x
  3. Step 3: Cross multiply
    22,855.01x = 31,542.83 × 12,784.01
  4. Step 4: Simplify right side
    22,855.01x = 403,243,632.51
  5. Step 5: Solve for x
    x = 403,243,632.51/22,855.01
  6. Step 6: Final answer
    x = 17,643.56

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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.