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Finding the Fourth Proportional to 15,892.61, 23,838.93 and 8,106.89

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Solution

The fourth proportional to 15,892.61, 23,838.93 and 8,106.89 is: 12,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.61 : 23,838.93 = 8,106.89 : x
  2. Step 2: Convert to fraction form
    15,892.61/23,838.93 = 8,106.89/x
  3. Step 3: Cross multiply
    15,892.61x = 23,838.93 × 8,106.89
  4. Step 4: Simplify right side
    15,892.61x = 193,259,583.23
  5. Step 5: Solve for x
    x = 193,259,583.23/15,892.61
  6. Step 6: Final answer
    x = 12,160.34

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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.