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Finding the Fourth Proportional to 15,802.94, 23,717.38 and 8,013.98

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Solution

The fourth proportional to 15,802.94, 23,717.38 and 8,013.98 is: 12,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.94 : 23,717.38 = 8,013.98 : x
  2. Step 2: Convert to fraction form
    15,802.94/23,717.38 = 8,013.98/x
  3. Step 3: Cross multiply
    15,802.94x = 23,717.38 × 8,013.98
  4. Step 4: Simplify right side
    15,802.94x = 190,070,608.97
  5. Step 5: Solve for x
    x = 190,070,608.97/15,802.94
  6. Step 6: Final answer
    x = 12,027.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.