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Finding the Fourth Proportional to 23,065.12, 31,792.64 and 20,032.48

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Solution

The fourth proportional to 23,065.12, 31,792.64 and 20,032.48 is: 27,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.12 : 31,792.64 = 20,032.48 : x
  2. Step 2: Convert to fraction form
    23,065.12/31,792.64 = 20,032.48/x
  3. Step 3: Cross multiply
    23,065.12x = 31,792.64 × 20,032.48
  4. Step 4: Simplify right side
    23,065.12x = 636,885,424.95
  5. Step 5: Solve for x
    x = 636,885,424.95/23,065.12
  6. Step 6: Final answer
    x = 27,612.49

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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.