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Finding the Fourth Proportional to 23,223.73, 32,051.48 and 13,792.29

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Solution

The fourth proportional to 23,223.73, 32,051.48 and 13,792.29 is: 19,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.73 : 32,051.48 = 13,792.29 : x
  2. Step 2: Convert to fraction form
    23,223.73/32,051.48 = 13,792.29/x
  3. Step 3: Cross multiply
    23,223.73x = 32,051.48 × 13,792.29
  4. Step 4: Simplify right side
    23,223.73x = 442,063,238.13
  5. Step 5: Solve for x
    x = 442,063,238.13/23,223.73
  6. Step 6: Final answer
    x = 19,034.98

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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.