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Finding the Fourth Proportional to 22,968.96, 31,695.36 and 13,032.96

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Solution

The fourth proportional to 22,968.96, 31,695.36 and 13,032.96 is: 17,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.96 : 31,695.36 = 13,032.96 : x
  2. Step 2: Convert to fraction form
    22,968.96/31,695.36 = 13,032.96/x
  3. Step 3: Cross multiply
    22,968.96x = 31,695.36 × 13,032.96
  4. Step 4: Simplify right side
    22,968.96x = 413,084,359.07
  5. Step 5: Solve for x
    x = 413,084,359.07/22,968.96
  6. Step 6: Final answer
    x = 17,984.46

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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.