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Finding the Fourth Proportional to 22,904.79, 31,610.63 and 12,833.16

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Solution

The fourth proportional to 22,904.79, 31,610.63 and 12,833.16 is: 17,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.79 : 31,610.63 = 12,833.16 : x
  2. Step 2: Convert to fraction form
    22,904.79/31,610.63 = 12,833.16/x
  3. Step 3: Cross multiply
    22,904.79x = 31,610.63 × 12,833.16
  4. Step 4: Simplify right side
    22,904.79x = 405,664,272.49
  5. Step 5: Solve for x
    x = 405,664,272.49/22,904.79
  6. Step 6: Final answer
    x = 17,710.89

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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.